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Finding the Third Proportional to 522.78 and 1,131.71

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Solution

The third proportional to 522.78 and 1,131.71 is: 2,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.78 : 1,131.71 = 1,131.71 : x
  2. Step 2: Convert to fraction form
    522.78/1,131.71 = 1,131.71/x
  3. Step 3: Cross multiply
    522.78x = 1,131.71 × 1,131.71
  4. Step 4: Simplify right side
    522.78x = 1,280,758.59
  5. Step 5: Solve for x
    x = 1,280,758.59/522.78
  6. Step 6: Final answer
    x = 2,449.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.