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Finding the Third Proportional to 283.71 and 633.87

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Solution

The third proportional to 283.71 and 633.87 is: 1,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.71 : 633.87 = 633.87 : x
  2. Step 2: Convert to fraction form
    283.71/633.87 = 633.87/x
  3. Step 3: Cross multiply
    283.71x = 633.87 × 633.87
  4. Step 4: Simplify right side
    283.71x = 401,787.61
  5. Step 5: Solve for x
    x = 401,787.61/283.71
  6. Step 6: Final answer
    x = 1,416.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.