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Finding the Third Proportional to 485,466 and 753,758

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Solution

The third proportional to 485,466 and 753,758 is: 1,170,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,466 : 753,758 = 753,758 : x
  2. Step 2: Convert to fraction form
    485,466/753,758 = 753,758/x
  3. Step 3: Cross multiply
    485,466x = 753,758 × 753,758
  4. Step 4: Simplify right side
    485,466x = 568,151,122,564
  5. Step 5: Solve for x
    x = 568,151,122,564/485,466
  6. Step 6: Final answer
    x = 1,170,321.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.