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Finding the Third Proportional to 336,497 and 741,277

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Solution

The third proportional to 336,497 and 741,277 is: 1,632,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,497 : 741,277 = 741,277 : x
  2. Step 2: Convert to fraction form
    336,497/741,277 = 741,277/x
  3. Step 3: Cross multiply
    336,497x = 741,277 × 741,277
  4. Step 4: Simplify right side
    336,497x = 549,491,590,729
  5. Step 5: Solve for x
    x = 549,491,590,729/336,497
  6. Step 6: Final answer
    x = 1,632,976.20

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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.