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Finding the Third Proportional to 485,586 and 761,742

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Solution

The third proportional to 485,586 and 761,742 is: 1,194,949.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,586 : 761,742 = 761,742 : x
  2. Step 2: Convert to fraction form
    485,586/761,742 = 761,742/x
  3. Step 3: Cross multiply
    485,586x = 761,742 × 761,742
  4. Step 4: Simplify right side
    485,586x = 580,250,874,564
  5. Step 5: Solve for x
    x = 580,250,874,564/485,586
  6. Step 6: Final answer
    x = 1,194,949.76

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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.