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Finding the Third Proportional to 267,887 and 393,082

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Solution

The third proportional to 267,887 and 393,082 is: 576,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,887 : 393,082 = 393,082 : x
  2. Step 2: Convert to fraction form
    267,887/393,082 = 393,082/x
  3. Step 3: Cross multiply
    267,887x = 393,082 × 393,082
  4. Step 4: Simplify right side
    267,887x = 154,513,458,724
  5. Step 5: Solve for x
    x = 154,513,458,724/267,887
  6. Step 6: Final answer
    x = 576,785.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.