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Finding the Third Proportional to 291,225 and 445,878

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Solution

The third proportional to 291,225 and 445,878 is: 682,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,225 : 445,878 = 445,878 : x
  2. Step 2: Convert to fraction form
    291,225/445,878 = 445,878/x
  3. Step 3: Cross multiply
    291,225x = 445,878 × 445,878
  4. Step 4: Simplify right side
    291,225x = 198,807,190,884
  5. Step 5: Solve for x
    x = 198,807,190,884/291,225
  6. Step 6: Final answer
    x = 682,658.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.