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Finding the Third Proportional to 566.88 and 913.69

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Solution

The third proportional to 566.88 and 913.69 is: 1,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.88 : 913.69 = 913.69 : x
  2. Step 2: Convert to fraction form
    566.88/913.69 = 913.69/x
  3. Step 3: Cross multiply
    566.88x = 913.69 × 913.69
  4. Step 4: Simplify right side
    566.88x = 834,824.85
  5. Step 5: Solve for x
    x = 834,824.85/566.88
  6. Step 6: Final answer
    x = 1,472.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.