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Finding the Third Proportional to 267,414 and 423,261

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Solution

The third proportional to 267,414 and 423,261 is: 669,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,414 : 423,261 = 423,261 : x
  2. Step 2: Convert to fraction form
    267,414/423,261 = 423,261/x
  3. Step 3: Cross multiply
    267,414x = 423,261 × 423,261
  4. Step 4: Simplify right side
    267,414x = 179,149,874,121
  5. Step 5: Solve for x
    x = 179,149,874,121/267,414
  6. Step 6: Final answer
    x = 669,934.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.