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Finding the Third Proportional to 322,951 and 754,318

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Solution

The third proportional to 322,951 and 754,318 is: 1,761,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,951 : 754,318 = 754,318 : x
  2. Step 2: Convert to fraction form
    322,951/754,318 = 754,318/x
  3. Step 3: Cross multiply
    322,951x = 754,318 × 754,318
  4. Step 4: Simplify right side
    322,951x = 568,995,645,124
  5. Step 5: Solve for x
    x = 568,995,645,124/322,951
  6. Step 6: Final answer
    x = 1,761,863.70

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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.