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Finding the Third Proportional to 291,540.50 and 449,764

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Solution

The third proportional to 291,540.50 and 449,764 is: 693,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,540.50 : 449,764 = 449,764 : x
  2. Step 2: Convert to fraction form
    291,540.50/449,764 = 449,764/x
  3. Step 3: Cross multiply
    291,540.50x = 449,764 × 449,764
  4. Step 4: Simplify right side
    291,540.50x = 202,287,655,696
  5. Step 5: Solve for x
    x = 202,287,655,696/291,540.50
  6. Step 6: Final answer
    x = 693,857.82

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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.