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Finding the Third Proportional to 571.88 and 854.38

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Solution

The third proportional to 571.88 and 854.38 is: 1,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.88 : 854.38 = 854.38 : x
  2. Step 2: Convert to fraction form
    571.88/854.38 = 854.38/x
  3. Step 3: Cross multiply
    571.88x = 854.38 × 854.38
  4. Step 4: Simplify right side
    571.88x = 729,956.64
  5. Step 5: Solve for x
    x = 729,956.64/571.88
  6. Step 6: Final answer
    x = 1,276.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.