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Finding the Third Proportional to 307 and 686.38

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Solution

The third proportional to 307 and 686.38 is: 1,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    307 : 686.38 = 686.38 : x
  2. Step 2: Convert to fraction form
    307/686.38 = 686.38/x
  3. Step 3: Cross multiply
    307x = 686.38 × 686.38
  4. Step 4: Simplify right side
    307x = 471,110.64
  5. Step 5: Solve for x
    x = 471,110.64/307
  6. Step 6: Final answer
    x = 1,534.56

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.