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Finding the Third Proportional to 291,423.45 and 449,593.66

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Solution

The third proportional to 291,423.45 and 449,593.66 is: 693,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,423.45 : 449,593.66 = 449,593.66 : x
  2. Step 2: Convert to fraction form
    291,423.45/449,593.66 = 449,593.66/x
  3. Step 3: Cross multiply
    291,423.45x = 449,593.66 × 449,593.66
  4. Step 4: Simplify right side
    291,423.45x = 202,134,462,765.14
  5. Step 5: Solve for x
    x = 202,134,462,765.14/291,423.45
  6. Step 6: Final answer
    x = 693,610.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.