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Finding the Third Proportional to 407,179.72 and 868,463.96

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Solution

The third proportional to 407,179.72 and 868,463.96 is: 1,852,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,179.72 : 868,463.96 = 868,463.96 : x
  2. Step 2: Convert to fraction form
    407,179.72/868,463.96 = 868,463.96/x
  3. Step 3: Cross multiply
    407,179.72x = 868,463.96 × 868,463.96
  4. Step 4: Simplify right side
    407,179.72x = 754,229,658,232.13
  5. Step 5: Solve for x
    x = 754,229,658,232.13/407,179.72
  6. Step 6: Final answer
    x = 1,852,326.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.