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Finding the Third Proportional to 322,467.75 and 753,013.13

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Solution

The third proportional to 322,467.75 and 753,013.13 is: 1,758,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,467.75 : 753,013.13 = 753,013.13 : x
  2. Step 2: Convert to fraction form
    322,467.75/753,013.13 = 753,013.13/x
  3. Step 3: Cross multiply
    322,467.75x = 753,013.13 × 753,013.13
  4. Step 4: Simplify right side
    322,467.75x = 567,028,766,422.27
  5. Step 5: Solve for x
    x = 567,028,766,422.27/322,467.75
  6. Step 6: Final answer
    x = 1,758,404.57

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Why These Related Problems?

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