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Finding the Third Proportional to 621,658.13 and 928,644.75

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Solution

The third proportional to 621,658.13 and 928,644.75 is: 1,387,227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,658.13 : 928,644.75 = 928,644.75 : x
  2. Step 2: Convert to fraction form
    621,658.13/928,644.75 = 928,644.75/x
  3. Step 3: Cross multiply
    621,658.13x = 928,644.75 × 928,644.75
  4. Step 4: Simplify right side
    621,658.13x = 862,381,071,702.56
  5. Step 5: Solve for x
    x = 862,381,071,702.56/621,658.13
  6. Step 6: Final answer
    x = 1,387,227.22

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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.