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Finding the Third Proportional to 269,464 and 449,124

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Solution

The third proportional to 269,464 and 449,124 is: 748,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,464 : 449,124 = 449,124 : x
  2. Step 2: Convert to fraction form
    269,464/449,124 = 449,124/x
  3. Step 3: Cross multiply
    269,464x = 449,124 × 449,124
  4. Step 4: Simplify right side
    269,464x = 201,712,367,376
  5. Step 5: Solve for x
    x = 201,712,367,376/269,464
  6. Step 6: Final answer
    x = 748,568.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.