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Finding the Third Proportional to 571.75 and 774.88

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Solution

The third proportional to 571.75 and 774.88 is: 1,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.75 : 774.88 = 774.88 : x
  2. Step 2: Convert to fraction form
    571.75/774.88 = 774.88/x
  3. Step 3: Cross multiply
    571.75x = 774.88 × 774.88
  4. Step 4: Simplify right side
    571.75x = 600,431.27
  5. Step 5: Solve for x
    x = 600,431.27/571.75
  6. Step 6: Final answer
    x = 1,050.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.