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Finding the Third Proportional to 337.92 and 712.34

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Solution

The third proportional to 337.92 and 712.34 is: 1,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 712.34 = 712.34 : x
  2. Step 2: Convert to fraction form
    337.92/712.34 = 712.34/x
  3. Step 3: Cross multiply
    337.92x = 712.34 × 712.34
  4. Step 4: Simplify right side
    337.92x = 507,422.49
  5. Step 5: Solve for x
    x = 507,422.49/337.92
  6. Step 6: Final answer
    x = 1,501.60

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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.