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Finding the Third Proportional to 441,757.38 and 961,727

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Solution

The third proportional to 441,757.38 and 961,727 is: 2,093,725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,757.38 : 961,727 = 961,727 : x
  2. Step 2: Convert to fraction form
    441,757.38/961,727 = 961,727/x
  3. Step 3: Cross multiply
    441,757.38x = 961,727 × 961,727
  4. Step 4: Simplify right side
    441,757.38x = 924,918,822,529
  5. Step 5: Solve for x
    x = 924,918,822,529/441,757.38
  6. Step 6: Final answer
    x = 2,093,725.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.