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Finding the Third Proportional to 676,711.34 and 952,119.56

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Solution

The third proportional to 676,711.34 and 952,119.56 is: 1,339,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,711.34 : 952,119.56 = 952,119.56 : x
  2. Step 2: Convert to fraction form
    676,711.34/952,119.56 = 952,119.56/x
  3. Step 3: Cross multiply
    676,711.34x = 952,119.56 × 952,119.56
  4. Step 4: Simplify right side
    676,711.34x = 906,531,661,295.19
  5. Step 5: Solve for x
    x = 906,531,661,295.19/676,711.34
  6. Step 6: Final answer
    x = 1,339,613.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.