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Finding the Third Proportional to 349.59 and 743.91

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Solution

The third proportional to 349.59 and 743.91 is: 1,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.59 : 743.91 = 743.91 : x
  2. Step 2: Convert to fraction form
    349.59/743.91 = 743.91/x
  3. Step 3: Cross multiply
    349.59x = 743.91 × 743.91
  4. Step 4: Simplify right side
    349.59x = 553,396.51
  5. Step 5: Solve for x
    x = 553,396.51/349.59
  6. Step 6: Final answer
    x = 1,582.97

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.