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Finding the Third Proportional to 330.88 and 584.13

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Solution

The third proportional to 330.88 and 584.13 is: 1,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.88 : 584.13 = 584.13 : x
  2. Step 2: Convert to fraction form
    330.88/584.13 = 584.13/x
  3. Step 3: Cross multiply
    330.88x = 584.13 × 584.13
  4. Step 4: Simplify right side
    330.88x = 341,202.02
  5. Step 5: Solve for x
    x = 341,202.02/330.88
  6. Step 6: Final answer
    x = 1,031.21

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.