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Finding the Third Proportional to 435,430,150,558 and 605,430,819,578

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Solution

The third proportional to 435,430,150,558 and 605,430,819,578 is: 841,803,161,368.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,430,150,558 : 605,430,819,578 = 605,430,819,578 : x
  2. Step 2: Convert to fraction form
    435,430,150,558/605,430,819,578 = 605,430,819,578/x
  3. Step 3: Cross multiply
    435,430,150,558x = 605,430,819,578 × 605,430,819,578
  4. Step 4: Simplify right side
    435,430,150,558x = 366,546,477,294,888,798,912,512
  5. Step 5: Solve for x
    x = 366,546,477,294,888,798,912,512/435,430,150,558
  6. Step 6: Final answer
    x = 841,803,161,368.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.