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Finding the Third Proportional to 352.13 and 753.56

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Solution

The third proportional to 352.13 and 753.56 is: 1,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.13 : 753.56 = 753.56 : x
  2. Step 2: Convert to fraction form
    352.13/753.56 = 753.56/x
  3. Step 3: Cross multiply
    352.13x = 753.56 × 753.56
  4. Step 4: Simplify right side
    352.13x = 567,856.44
  5. Step 5: Solve for x
    x = 567,856.44/352.13
  6. Step 6: Final answer
    x = 1,612.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.