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Finding the Third Proportional to 485,883 and 762,138

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Solution

The third proportional to 485,883 and 762,138 is: 1,195,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,883 : 762,138 = 762,138 : x
  2. Step 2: Convert to fraction form
    485,883/762,138 = 762,138/x
  3. Step 3: Cross multiply
    485,883x = 762,138 × 762,138
  4. Step 4: Simplify right side
    485,883x = 580,854,331,044
  5. Step 5: Solve for x
    x = 580,854,331,044/485,883
  6. Step 6: Final answer
    x = 1,195,461.32

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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.