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Finding the Third Proportional to 371,566 and 517,010

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Solution

The third proportional to 371,566 and 517,010 is: 719,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,566 : 517,010 = 517,010 : x
  2. Step 2: Convert to fraction form
    371,566/517,010 = 517,010/x
  3. Step 3: Cross multiply
    371,566x = 517,010 × 517,010
  4. Step 4: Simplify right side
    371,566x = 267,299,340,100
  5. Step 5: Solve for x
    x = 267,299,340,100/371,566
  6. Step 6: Final answer
    x = 719,385.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.