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Finding the Third Proportional to 463.13 and 1,078.13

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Solution

The third proportional to 463.13 and 1,078.13 is: 2,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.13 : 1,078.13 = 1,078.13 : x
  2. Step 2: Convert to fraction form
    463.13/1,078.13 = 1,078.13/x
  3. Step 3: Cross multiply
    463.13x = 1,078.13 × 1,078.13
  4. Step 4: Simplify right side
    463.13x = 1,162,353.52
  5. Step 5: Solve for x
    x = 1,162,353.52/463.13
  6. Step 6: Final answer
    x = 2,509.81

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.