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Finding the Third Proportional to 556,592 and 845,512

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Solution

The third proportional to 556,592 and 845,512 is: 1,284,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,592 : 845,512 = 845,512 : x
  2. Step 2: Convert to fraction form
    556,592/845,512 = 845,512/x
  3. Step 3: Cross multiply
    556,592x = 845,512 × 845,512
  4. Step 4: Simplify right side
    556,592x = 714,890,542,144
  5. Step 5: Solve for x
    x = 714,890,542,144/556,592
  6. Step 6: Final answer
    x = 1,284,406.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.