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Finding the Third Proportional to 485,464.50 and 753,757

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Solution

The third proportional to 485,464.50 and 753,757 is: 1,170,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,464.50 : 753,757 = 753,757 : x
  2. Step 2: Convert to fraction form
    485,464.50/753,757 = 753,757/x
  3. Step 3: Cross multiply
    485,464.50x = 753,757 × 753,757
  4. Step 4: Simplify right side
    485,464.50x = 568,149,615,049
  5. Step 5: Solve for x
    x = 568,149,615,049/485,464.50
  6. Step 6: Final answer
    x = 1,170,321.65

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