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Finding the Third Proportional to 267,642 and 414,909

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Solution

The third proportional to 267,642 and 414,909 is: 643,208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,642 : 414,909 = 414,909 : x
  2. Step 2: Convert to fraction form
    267,642/414,909 = 414,909/x
  3. Step 3: Cross multiply
    267,642x = 414,909 × 414,909
  4. Step 4: Simplify right side
    267,642x = 172,149,478,281
  5. Step 5: Solve for x
    x = 172,149,478,281/267,642
  6. Step 6: Final answer
    x = 643,208.01

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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.