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Finding the Third Proportional to 269,840 and 396,011

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Solution

The third proportional to 269,840 and 396,011 is: 581,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,840 : 396,011 = 396,011 : x
  2. Step 2: Convert to fraction form
    269,840/396,011 = 396,011/x
  3. Step 3: Cross multiply
    269,840x = 396,011 × 396,011
  4. Step 4: Simplify right side
    269,840x = 156,824,712,121
  5. Step 5: Solve for x
    x = 156,824,712,121/269,840
  6. Step 6: Final answer
    x = 581,176.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.