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Finding the Third Proportional to 514 and 1,243

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Solution

The third proportional to 514 and 1,243 is: 3,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514 : 1,243 = 1,243 : x
  2. Step 2: Convert to fraction form
    514/1,243 = 1,243/x
  3. Step 3: Cross multiply
    514x = 1,243 × 1,243
  4. Step 4: Simplify right side
    514x = 1,545,049
  5. Step 5: Solve for x
    x = 1,545,049/514
  6. Step 6: Final answer
    x = 3,005.93

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.