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Finding the Third Proportional to 485,676 and 753,948

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Solution

The third proportional to 485,676 and 753,948 is: 1,170,404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,676 : 753,948 = 753,948 : x
  2. Step 2: Convert to fraction form
    485,676/753,948 = 753,948/x
  3. Step 3: Cross multiply
    485,676x = 753,948 × 753,948
  4. Step 4: Simplify right side
    485,676x = 568,437,586,704
  5. Step 5: Solve for x
    x = 568,437,586,704/485,676
  6. Step 6: Final answer
    x = 1,170,404.93

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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.