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Finding the Third Proportional to 291,648.94 and 449,910.28

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Solution

The third proportional to 291,648.94 and 449,910.28 is: 694,051.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,648.94 : 449,910.28 = 449,910.28 : x
  2. Step 2: Convert to fraction form
    291,648.94/449,910.28 = 449,910.28/x
  3. Step 3: Cross multiply
    291,648.94x = 449,910.28 × 449,910.28
  4. Step 4: Simplify right side
    291,648.94x = 202,419,261,174.45
  5. Step 5: Solve for x
    x = 202,419,261,174.45/291,648.94
  6. Step 6: Final answer
    x = 694,051.08

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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.