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Finding the Third Proportional to 267,422.50 and 569,189

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Solution

The third proportional to 267,422.50 and 569,189 is: 1,211,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,422.50 : 569,189 = 569,189 : x
  2. Step 2: Convert to fraction form
    267,422.50/569,189 = 569,189/x
  3. Step 3: Cross multiply
    267,422.50x = 569,189 × 569,189
  4. Step 4: Simplify right side
    267,422.50x = 323,976,117,721
  5. Step 5: Solve for x
    x = 323,976,117,721/267,422.50
  6. Step 6: Final answer
    x = 1,211,476.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.