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Finding the Third Proportional to 322,951 and 754,320

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Solution

The third proportional to 322,951 and 754,320 is: 1,761,873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,951 : 754,320 = 754,320 : x
  2. Step 2: Convert to fraction form
    322,951/754,320 = 754,320/x
  3. Step 3: Cross multiply
    322,951x = 754,320 × 754,320
  4. Step 4: Simplify right side
    322,951x = 568,998,662,400
  5. Step 5: Solve for x
    x = 568,998,662,400/322,951
  6. Step 6: Final answer
    x = 1,761,873.05

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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.