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Finding the Third Proportional to 313,892 and 686,098

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Solution

The third proportional to 313,892 and 686,098 is: 1,499,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,892 : 686,098 = 686,098 : x
  2. Step 2: Convert to fraction form
    313,892/686,098 = 686,098/x
  3. Step 3: Cross multiply
    313,892x = 686,098 × 686,098
  4. Step 4: Simplify right side
    313,892x = 470,730,465,604
  5. Step 5: Solve for x
    x = 470,730,465,604/313,892
  6. Step 6: Final answer
    x = 1,499,657.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.