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Finding the Third Proportional to 485,874 and 762,122.25

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Solution

The third proportional to 485,874 and 762,122.25 is: 1,195,434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,874 : 762,122.25 = 762,122.25 : x
  2. Step 2: Convert to fraction form
    485,874/762,122.25 = 762,122.25/x
  3. Step 3: Cross multiply
    485,874x = 762,122.25 × 762,122.25
  4. Step 4: Simplify right side
    485,874x = 580,830,323,945.06
  5. Step 5: Solve for x
    x = 580,830,323,945.06/485,874
  6. Step 6: Final answer
    x = 1,195,434.05

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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.