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Finding the Third Proportional to 314.25 and 486.38

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Solution

The third proportional to 314.25 and 486.38 is: 752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.25 : 486.38 = 486.38 : x
  2. Step 2: Convert to fraction form
    314.25/486.38 = 486.38/x
  3. Step 3: Cross multiply
    314.25x = 486.38 × 486.38
  4. Step 4: Simplify right side
    314.25x = 236,560.64
  5. Step 5: Solve for x
    x = 236,560.64/314.25
  6. Step 6: Final answer
    x = 752.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.