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Finding the Third Proportional to 267,548 and 416,082

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Solution

The third proportional to 267,548 and 416,082 is: 647,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,548 : 416,082 = 416,082 : x
  2. Step 2: Convert to fraction form
    267,548/416,082 = 416,082/x
  3. Step 3: Cross multiply
    267,548x = 416,082 × 416,082
  4. Step 4: Simplify right side
    267,548x = 173,124,230,724
  5. Step 5: Solve for x
    x = 173,124,230,724/267,548
  6. Step 6: Final answer
    x = 647,077.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.