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Finding the Third Proportional to 357,000 and 525,627

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Solution

The third proportional to 357,000 and 525,627 is: 773,904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,000 : 525,627 = 525,627 : x
  2. Step 2: Convert to fraction form
    357,000/525,627 = 525,627/x
  3. Step 3: Cross multiply
    357,000x = 525,627 × 525,627
  4. Step 4: Simplify right side
    357,000x = 276,283,743,129
  5. Step 5: Solve for x
    x = 276,283,743,129/357,000
  6. Step 6: Final answer
    x = 773,904.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.