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Finding the Third Proportional to 591.52 and 1,221.49

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Solution

The third proportional to 591.52 and 1,221.49 is: 2,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.52 : 1,221.49 = 1,221.49 : x
  2. Step 2: Convert to fraction form
    591.52/1,221.49 = 1,221.49/x
  3. Step 3: Cross multiply
    591.52x = 1,221.49 × 1,221.49
  4. Step 4: Simplify right side
    591.52x = 1,492,028.85
  5. Step 5: Solve for x
    x = 1,492,028.85/591.52
  6. Step 6: Final answer
    x = 2,522.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.