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Finding the Third Proportional to 399,217 and 602,974

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Solution

The third proportional to 399,217 and 602,974 is: 910,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,217 : 602,974 = 602,974 : x
  2. Step 2: Convert to fraction form
    399,217/602,974 = 602,974/x
  3. Step 3: Cross multiply
    399,217x = 602,974 × 602,974
  4. Step 4: Simplify right side
    399,217x = 363,577,644,676
  5. Step 5: Solve for x
    x = 363,577,644,676/399,217
  6. Step 6: Final answer
    x = 910,726.86

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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.