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Finding the Third Proportional to 347.20 and 743.77

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Solution

The third proportional to 347.20 and 743.77 is: 1,593.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.20 : 743.77 = 743.77 : x
  2. Step 2: Convert to fraction form
    347.20/743.77 = 743.77/x
  3. Step 3: Cross multiply
    347.20x = 743.77 × 743.77
  4. Step 4: Simplify right side
    347.20x = 553,187.30
  5. Step 5: Solve for x
    x = 553,187.30/347.20
  6. Step 6: Final answer
    x = 1,593.27

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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.