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Finding the Third Proportional to 451,228 and 752,010

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Solution

The third proportional to 451,228 and 752,010 is: 1,253,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,228 : 752,010 = 752,010 : x
  2. Step 2: Convert to fraction form
    451,228/752,010 = 752,010/x
  3. Step 3: Cross multiply
    451,228x = 752,010 × 752,010
  4. Step 4: Simplify right side
    451,228x = 565,519,040,100
  5. Step 5: Solve for x
    x = 565,519,040,100/451,228
  6. Step 6: Final answer
    x = 1,253,288.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.