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Finding the Third Proportional to 267,675 and 391,455

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Solution

The third proportional to 267,675 and 391,455 is: 572,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,675 : 391,455 = 391,455 : x
  2. Step 2: Convert to fraction form
    267,675/391,455 = 391,455/x
  3. Step 3: Cross multiply
    267,675x = 391,455 × 391,455
  4. Step 4: Simplify right side
    267,675x = 153,237,017,025
  5. Step 5: Solve for x
    x = 153,237,017,025/267,675
  6. Step 6: Final answer
    x = 572,474.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.