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Finding the Third Proportional to 343,147.50 and 517,422

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Solution

The third proportional to 343,147.50 and 517,422 is: 780,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,147.50 : 517,422 = 517,422 : x
  2. Step 2: Convert to fraction form
    343,147.50/517,422 = 517,422/x
  3. Step 3: Cross multiply
    343,147.50x = 517,422 × 517,422
  4. Step 4: Simplify right side
    343,147.50x = 267,725,526,084
  5. Step 5: Solve for x
    x = 267,725,526,084/343,147.50
  6. Step 6: Final answer
    x = 780,205.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.