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Finding the Third Proportional to 386,715.52 and 832,677.47

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Solution

The third proportional to 386,715.52 and 832,677.47 is: 1,792,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,715.52 : 832,677.47 = 832,677.47 : x
  2. Step 2: Convert to fraction form
    386,715.52/832,677.47 = 832,677.47/x
  3. Step 3: Cross multiply
    386,715.52x = 832,677.47 × 832,677.47
  4. Step 4: Simplify right side
    386,715.52x = 693,351,766,963.91
  5. Step 5: Solve for x
    x = 693,351,766,963.91/386,715.52
  6. Step 6: Final answer
    x = 1,792,924.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.