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Finding the Third Proportional to 232,344 and 347,592

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Solution

The third proportional to 232,344 and 347,592 is: 520,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,344 : 347,592 = 347,592 : x
  2. Step 2: Convert to fraction form
    232,344/347,592 = 347,592/x
  3. Step 3: Cross multiply
    232,344x = 347,592 × 347,592
  4. Step 4: Simplify right side
    232,344x = 120,820,198,464
  5. Step 5: Solve for x
    x = 120,820,198,464/232,344
  6. Step 6: Final answer
    x = 520,005.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.