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Finding the Third Proportional to 283.78 and 463.92

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Solution

The third proportional to 283.78 and 463.92 is: 758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.78 : 463.92 = 463.92 : x
  2. Step 2: Convert to fraction form
    283.78/463.92 = 463.92/x
  3. Step 3: Cross multiply
    283.78x = 463.92 × 463.92
  4. Step 4: Simplify right side
    283.78x = 215,223.51
  5. Step 5: Solve for x
    x = 215,223.51/283.78
  6. Step 6: Final answer
    x = 758.41

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.