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Finding the Third Proportional to 268,814 and 397,051

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Solution

The third proportional to 268,814 and 397,051 is: 586,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,814 : 397,051 = 397,051 : x
  2. Step 2: Convert to fraction form
    268,814/397,051 = 397,051/x
  3. Step 3: Cross multiply
    268,814x = 397,051 × 397,051
  4. Step 4: Simplify right side
    268,814x = 157,649,496,601
  5. Step 5: Solve for x
    x = 157,649,496,601/268,814
  6. Step 6: Final answer
    x = 586,463.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.