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Finding the Third Proportional to 297,012 and 393,840

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Solution

The third proportional to 297,012 and 393,840 is: 522,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,012 : 393,840 = 393,840 : x
  2. Step 2: Convert to fraction form
    297,012/393,840 = 393,840/x
  3. Step 3: Cross multiply
    297,012x = 393,840 × 393,840
  4. Step 4: Simplify right side
    297,012x = 155,109,945,600
  5. Step 5: Solve for x
    x = 155,109,945,600/297,012
  6. Step 6: Final answer
    x = 522,234.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.