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Finding the Third Proportional to 404,037 and 602,551

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Solution

The third proportional to 404,037 and 602,551 is: 898,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,037 : 602,551 = 602,551 : x
  2. Step 2: Convert to fraction form
    404,037/602,551 = 602,551/x
  3. Step 3: Cross multiply
    404,037x = 602,551 × 602,551
  4. Step 4: Simplify right side
    404,037x = 363,067,707,601
  5. Step 5: Solve for x
    x = 363,067,707,601/404,037
  6. Step 6: Final answer
    x = 898,600.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.