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Finding the Third Proportional to 582.05 and 1,266.42

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Solution

The third proportional to 582.05 and 1,266.42 is: 2,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.05 : 1,266.42 = 1,266.42 : x
  2. Step 2: Convert to fraction form
    582.05/1,266.42 = 1,266.42/x
  3. Step 3: Cross multiply
    582.05x = 1,266.42 × 1,266.42
  4. Step 4: Simplify right side
    582.05x = 1,603,824.37
  5. Step 5: Solve for x
    x = 1,603,824.37/582.05
  6. Step 6: Final answer
    x = 2,755.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.