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Finding the Third Proportional to 415,265.17 and 650,576.97

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Solution

The third proportional to 415,265.17 and 650,576.97 is: 1,019,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,265.17 : 650,576.97 = 650,576.97 : x
  2. Step 2: Convert to fraction form
    415,265.17/650,576.97 = 650,576.97/x
  3. Step 3: Cross multiply
    415,265.17x = 650,576.97 × 650,576.97
  4. Step 4: Simplify right side
    415,265.17x = 423,250,394,809.25
  5. Step 5: Solve for x
    x = 423,250,394,809.25/415,265.17
  6. Step 6: Final answer
    x = 1,019,229.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.