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Finding the Third Proportional to 624,115.13 and 680,293.69

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Solution

The third proportional to 624,115.13 and 680,293.69 is: 741,529.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,115.13 : 680,293.69 = 680,293.69 : x
  2. Step 2: Convert to fraction form
    624,115.13/680,293.69 = 680,293.69/x
  3. Step 3: Cross multiply
    624,115.13x = 680,293.69 × 680,293.69
  4. Step 4: Simplify right side
    624,115.13x = 462,799,501,252.35
  5. Step 5: Solve for x
    x = 462,799,501,252.35/624,115.13
  6. Step 6: Final answer
    x = 741,529.06

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.