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Finding the Third Proportional to 291,934.13 and 443,383.88

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Solution

The third proportional to 291,934.13 and 443,383.88 is: 673,402.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,934.13 : 443,383.88 = 443,383.88 : x
  2. Step 2: Convert to fraction form
    291,934.13/443,383.88 = 443,383.88/x
  3. Step 3: Cross multiply
    291,934.13x = 443,383.88 × 443,383.88
  4. Step 4: Simplify right side
    291,934.13x = 196,589,260,610.02
  5. Step 5: Solve for x
    x = 196,589,260,610.02/291,934.13
  6. Step 6: Final answer
    x = 673,402.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.