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Finding the Third Proportional to 588,517.13 and 832,981.13

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Solution

The third proportional to 588,517.13 and 832,981.13 is: 1,178,992.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,517.13 : 832,981.13 = 832,981.13 : x
  2. Step 2: Convert to fraction form
    588,517.13/832,981.13 = 832,981.13/x
  3. Step 3: Cross multiply
    588,517.13x = 832,981.13 × 832,981.13
  4. Step 4: Simplify right side
    588,517.13x = 693,857,554,606.27
  5. Step 5: Solve for x
    x = 693,857,554,606.27/588,517.13
  6. Step 6: Final answer
    x = 1,178,992.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.