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Finding the Third Proportional to 441,877 and 691,251

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Solution

The third proportional to 441,877 and 691,251 is: 1,081,359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,877 : 691,251 = 691,251 : x
  2. Step 2: Convert to fraction form
    441,877/691,251 = 691,251/x
  3. Step 3: Cross multiply
    441,877x = 691,251 × 691,251
  4. Step 4: Simplify right side
    441,877x = 477,827,945,001
  5. Step 5: Solve for x
    x = 477,827,945,001/441,877
  6. Step 6: Final answer
    x = 1,081,359.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.