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Finding the Third Proportional to 283.08 and 447.61

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Solution

The third proportional to 283.08 and 447.61 is: 707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.08 : 447.61 = 447.61 : x
  2. Step 2: Convert to fraction form
    283.08/447.61 = 447.61/x
  3. Step 3: Cross multiply
    283.08x = 447.61 × 447.61
  4. Step 4: Simplify right side
    283.08x = 200,354.15
  5. Step 5: Solve for x
    x = 200,354.15/283.08
  6. Step 6: Final answer
    x = 707.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.