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Finding the Third Proportional to 267,752 and 414,591

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Solution

The third proportional to 267,752 and 414,591 is: 641,958.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,752 : 414,591 = 414,591 : x
  2. Step 2: Convert to fraction form
    267,752/414,591 = 414,591/x
  3. Step 3: Cross multiply
    267,752x = 414,591 × 414,591
  4. Step 4: Simplify right side
    267,752x = 171,885,697,281
  5. Step 5: Solve for x
    x = 171,885,697,281/267,752
  6. Step 6: Final answer
    x = 641,958.59

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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.