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Finding the Third Proportional to 350.91 and 742.03

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Solution

The third proportional to 350.91 and 742.03 is: 1,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.91 : 742.03 = 742.03 : x
  2. Step 2: Convert to fraction form
    350.91/742.03 = 742.03/x
  3. Step 3: Cross multiply
    350.91x = 742.03 × 742.03
  4. Step 4: Simplify right side
    350.91x = 550,610.38
  5. Step 5: Solve for x
    x = 550,610.38/350.91
  6. Step 6: Final answer
    x = 1,569.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.