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Finding the Third Proportional to 458,664.38 and 674,515.13

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Solution

The third proportional to 458,664.38 and 674,515.13 is: 991,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,664.38 : 674,515.13 = 674,515.13 : x
  2. Step 2: Convert to fraction form
    458,664.38/674,515.13 = 674,515.13/x
  3. Step 3: Cross multiply
    458,664.38x = 674,515.13 × 674,515.13
  4. Step 4: Simplify right side
    458,664.38x = 454,970,653,853.77
  5. Step 5: Solve for x
    x = 454,970,653,853.77/458,664.38
  6. Step 6: Final answer
    x = 991,946.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.