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Finding the Third Proportional to 267,592 and 414,568

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Solution

The third proportional to 267,592 and 414,568 is: 642,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,592 : 414,568 = 414,568 : x
  2. Step 2: Convert to fraction form
    267,592/414,568 = 414,568/x
  3. Step 3: Cross multiply
    267,592x = 414,568 × 414,568
  4. Step 4: Simplify right side
    267,592x = 171,866,626,624
  5. Step 5: Solve for x
    x = 171,866,626,624/267,592
  6. Step 6: Final answer
    x = 642,271.17

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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.