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Finding the Third Proportional to 415,938 and 632,661

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Solution

The third proportional to 415,938 and 632,661 is: 962,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,938 : 632,661 = 632,661 : x
  2. Step 2: Convert to fraction form
    415,938/632,661 = 632,661/x
  3. Step 3: Cross multiply
    415,938x = 632,661 × 632,661
  4. Step 4: Simplify right side
    415,938x = 400,259,940,921
  5. Step 5: Solve for x
    x = 400,259,940,921/415,938
  6. Step 6: Final answer
    x = 962,306.74

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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.