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Finding the Third Proportional to 322,552.13 and 753,324.75

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Solution

The third proportional to 322,552.13 and 753,324.75 is: 1,759,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,552.13 : 753,324.75 = 753,324.75 : x
  2. Step 2: Convert to fraction form
    322,552.13/753,324.75 = 753,324.75/x
  3. Step 3: Cross multiply
    322,552.13x = 753,324.75 × 753,324.75
  4. Step 4: Simplify right side
    322,552.13x = 567,498,178,962.56
  5. Step 5: Solve for x
    x = 567,498,178,962.56/322,552.13
  6. Step 6: Final answer
    x = 1,759,399.91

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.