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Finding the Third Proportional to 284.25 and 439.88

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Solution

The third proportional to 284.25 and 439.88 is: 680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.25 : 439.88 = 439.88 : x
  2. Step 2: Convert to fraction form
    284.25/439.88 = 439.88/x
  3. Step 3: Cross multiply
    284.25x = 439.88 × 439.88
  4. Step 4: Simplify right side
    284.25x = 193,490.02
  5. Step 5: Solve for x
    x = 193,490.02/284.25
  6. Step 6: Final answer
    x = 680.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.