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Finding the Third Proportional to 463.75 and 1,078.38

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Solution

The third proportional to 463.75 and 1,078.38 is: 2,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.75 : 1,078.38 = 1,078.38 : x
  2. Step 2: Convert to fraction form
    463.75/1,078.38 = 1,078.38/x
  3. Step 3: Cross multiply
    463.75x = 1,078.38 × 1,078.38
  4. Step 4: Simplify right side
    463.75x = 1,162,892.64
  5. Step 5: Solve for x
    x = 1,162,892.64/463.75
  6. Step 6: Final answer
    x = 2,507.59

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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.