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Finding the Third Proportional to 386,727 and 832,695

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Solution

The third proportional to 386,727 and 832,695 is: 1,792,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,727 : 832,695 = 832,695 : x
  2. Step 2: Convert to fraction form
    386,727/832,695 = 832,695/x
  3. Step 3: Cross multiply
    386,727x = 832,695 × 832,695
  4. Step 4: Simplify right side
    386,727x = 693,380,963,025
  5. Step 5: Solve for x
    x = 693,380,963,025/386,727
  6. Step 6: Final answer
    x = 1,792,946.87

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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.