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Finding the Third Proportional to 415,071 and 625,506

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Solution

The third proportional to 415,071 and 625,506 is: 942,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,071 : 625,506 = 625,506 : x
  2. Step 2: Convert to fraction form
    415,071/625,506 = 625,506/x
  3. Step 3: Cross multiply
    415,071x = 625,506 × 625,506
  4. Step 4: Simplify right side
    415,071x = 391,257,756,036
  5. Step 5: Solve for x
    x = 391,257,756,036/415,071
  6. Step 6: Final answer
    x = 942,628.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.