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Finding the Third Proportional to 267,857 and 363,784

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Solution

The third proportional to 267,857 and 363,784 is: 494,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,857 : 363,784 = 363,784 : x
  2. Step 2: Convert to fraction form
    267,857/363,784 = 363,784/x
  3. Step 3: Cross multiply
    267,857x = 363,784 × 363,784
  4. Step 4: Simplify right side
    267,857x = 132,338,798,656
  5. Step 5: Solve for x
    x = 132,338,798,656/267,857
  6. Step 6: Final answer
    x = 494,065.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.