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Finding the Third Proportional to 439,864 and 613,870

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Solution

The third proportional to 439,864 and 613,870 is: 856,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,864 : 613,870 = 613,870 : x
  2. Step 2: Convert to fraction form
    439,864/613,870 = 613,870/x
  3. Step 3: Cross multiply
    439,864x = 613,870 × 613,870
  4. Step 4: Simplify right side
    439,864x = 376,836,376,900
  5. Step 5: Solve for x
    x = 376,836,376,900/439,864
  6. Step 6: Final answer
    x = 856,711.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.