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Finding the Third Proportional to 414.88 and 568.88

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Solution

The third proportional to 414.88 and 568.88 is: 780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.88 : 568.88 = 568.88 : x
  2. Step 2: Convert to fraction form
    414.88/568.88 = 568.88/x
  3. Step 3: Cross multiply
    414.88x = 568.88 × 568.88
  4. Step 4: Simplify right side
    414.88x = 323,618.77
  5. Step 5: Solve for x
    x = 323,618.77/414.88
  6. Step 6: Final answer
    x = 780.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.