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Finding the Third Proportional to 335,847 and 730,107

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Solution

The third proportional to 335,847 and 730,107 is: 1,587,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,847 : 730,107 = 730,107 : x
  2. Step 2: Convert to fraction form
    335,847/730,107 = 730,107/x
  3. Step 3: Cross multiply
    335,847x = 730,107 × 730,107
  4. Step 4: Simplify right side
    335,847x = 533,056,231,449
  5. Step 5: Solve for x
    x = 533,056,231,449/335,847
  6. Step 6: Final answer
    x = 1,587,199.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.