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Finding the Third Proportional to 336,961 and 741,314

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Solution

The third proportional to 336,961 and 741,314 is: 1,630,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,961 : 741,314 = 741,314 : x
  2. Step 2: Convert to fraction form
    336,961/741,314 = 741,314/x
  3. Step 3: Cross multiply
    336,961x = 741,314 × 741,314
  4. Step 4: Simplify right side
    336,961x = 549,546,446,596
  5. Step 5: Solve for x
    x = 549,546,446,596/336,961
  6. Step 6: Final answer
    x = 1,630,890.36

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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.