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Finding the Third Proportional to 485,601 and 761,766

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Solution

The third proportional to 485,601 and 761,766 is: 1,194,988.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,601 : 761,766 = 761,766 : x
  2. Step 2: Convert to fraction form
    485,601/761,766 = 761,766/x
  3. Step 3: Cross multiply
    485,601x = 761,766 × 761,766
  4. Step 4: Simplify right side
    485,601x = 580,287,438,756
  5. Step 5: Solve for x
    x = 580,287,438,756/485,601
  6. Step 6: Final answer
    x = 1,194,988.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.