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Finding the Third Proportional to 267,113 and 575,698

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Solution

The third proportional to 267,113 and 575,698 is: 1,240,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,113 : 575,698 = 575,698 : x
  2. Step 2: Convert to fraction form
    267,113/575,698 = 575,698/x
  3. Step 3: Cross multiply
    267,113x = 575,698 × 575,698
  4. Step 4: Simplify right side
    267,113x = 331,428,187,204
  5. Step 5: Solve for x
    x = 331,428,187,204/267,113
  6. Step 6: Final answer
    x = 1,240,778.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.