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Finding the Third Proportional to 284.91 and 671.34

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Solution

The third proportional to 284.91 and 671.34 is: 1,581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.91 : 671.34 = 671.34 : x
  2. Step 2: Convert to fraction form
    284.91/671.34 = 671.34/x
  3. Step 3: Cross multiply
    284.91x = 671.34 × 671.34
  4. Step 4: Simplify right side
    284.91x = 450,702.43
  5. Step 5: Solve for x
    x = 450,702.43/284.91
  6. Step 6: Final answer
    x = 1,581.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.