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Finding the Third Proportional to 291,650 and 443,374

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Solution

The third proportional to 291,650 and 443,374 is: 674,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,650 : 443,374 = 443,374 : x
  2. Step 2: Convert to fraction form
    291,650/443,374 = 443,374/x
  3. Step 3: Cross multiply
    291,650x = 443,374 × 443,374
  4. Step 4: Simplify right side
    291,650x = 196,580,503,876
  5. Step 5: Solve for x
    x = 196,580,503,876/291,650
  6. Step 6: Final answer
    x = 674,028.81

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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.