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Finding the Third Proportional to 336,517 and 741,343

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Solution

The third proportional to 336,517 and 741,343 is: 1,633,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,517 : 741,343 = 741,343 : x
  2. Step 2: Convert to fraction form
    336,517/741,343 = 741,343/x
  3. Step 3: Cross multiply
    336,517x = 741,343 × 741,343
  4. Step 4: Simplify right side
    336,517x = 549,589,443,649
  5. Step 5: Solve for x
    x = 549,589,443,649/336,517
  6. Step 6: Final answer
    x = 1,633,169.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.