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Finding the Third Proportional to 415,006.50 and 625,431

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Solution

The third proportional to 415,006.50 and 625,431 is: 942,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,006.50 : 625,431 = 625,431 : x
  2. Step 2: Convert to fraction form
    415,006.50/625,431 = 625,431/x
  3. Step 3: Cross multiply
    415,006.50x = 625,431 × 625,431
  4. Step 4: Simplify right side
    415,006.50x = 391,163,935,761
  5. Step 5: Solve for x
    x = 391,163,935,761/415,006.50
  6. Step 6: Final answer
    x = 942,548.94

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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.