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Finding the Third Proportional to 267,244 and 429,828

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Solution

The third proportional to 267,244 and 429,828 is: 691,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,244 : 429,828 = 429,828 : x
  2. Step 2: Convert to fraction form
    267,244/429,828 = 429,828/x
  3. Step 3: Cross multiply
    267,244x = 429,828 × 429,828
  4. Step 4: Simplify right side
    267,244x = 184,752,109,584
  5. Step 5: Solve for x
    x = 184,752,109,584/267,244
  6. Step 6: Final answer
    x = 691,323.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.