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Finding the Third Proportional to 296,073 and 449,648.25

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Solution

The third proportional to 296,073 and 449,648.25 is: 682,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,073 : 449,648.25 = 449,648.25 : x
  2. Step 2: Convert to fraction form
    296,073/449,648.25 = 449,648.25/x
  3. Step 3: Cross multiply
    296,073x = 449,648.25 × 449,648.25
  4. Step 4: Simplify right side
    296,073x = 202,183,548,728.06
  5. Step 5: Solve for x
    x = 202,183,548,728.06/296,073
  6. Step 6: Final answer
    x = 682,884.12

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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.