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Finding the Third Proportional to 485,396 and 759,782

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Solution

The third proportional to 485,396 and 759,782 is: 1,189,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,396 : 759,782 = 759,782 : x
  2. Step 2: Convert to fraction form
    485,396/759,782 = 759,782/x
  3. Step 3: Cross multiply
    485,396x = 759,782 × 759,782
  4. Step 4: Simplify right side
    485,396x = 577,268,687,524
  5. Step 5: Solve for x
    x = 577,268,687,524/485,396
  6. Step 6: Final answer
    x = 1,189,273.68

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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.