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Finding the Third Proportional to 296,074 and 449,649

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Solution

The third proportional to 296,074 and 449,649 is: 682,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,074 : 449,649 = 449,649 : x
  2. Step 2: Convert to fraction form
    296,074/449,649 = 449,649/x
  3. Step 3: Cross multiply
    296,074x = 449,649 × 449,649
  4. Step 4: Simplify right side
    296,074x = 202,184,223,201
  5. Step 5: Solve for x
    x = 202,184,223,201/296,074
  6. Step 6: Final answer
    x = 682,884.09

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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.