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Finding the Third Proportional to 284.34 and 410.91

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Solution

The third proportional to 284.34 and 410.91 is: 593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.34 : 410.91 = 410.91 : x
  2. Step 2: Convert to fraction form
    284.34/410.91 = 410.91/x
  3. Step 3: Cross multiply
    284.34x = 410.91 × 410.91
  4. Step 4: Simplify right side
    284.34x = 168,843.95
  5. Step 5: Solve for x
    x = 168,843.95/284.34
  6. Step 6: Final answer
    x = 593.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.