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Finding the Third Proportional to 267,750 and 414,588

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Solution

The third proportional to 267,750 and 414,588 is: 641,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,750 : 414,588 = 414,588 : x
  2. Step 2: Convert to fraction form
    267,750/414,588 = 414,588/x
  3. Step 3: Cross multiply
    267,750x = 414,588 × 414,588
  4. Step 4: Simplify right side
    267,750x = 171,883,209,744
  5. Step 5: Solve for x
    x = 171,883,209,744/267,750
  6. Step 6: Final answer
    x = 641,954.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.