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Finding the Third Proportional to 336,082 and 738,422

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Solution

The third proportional to 336,082 and 738,422 is: 1,622,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,082 : 738,422 = 738,422 : x
  2. Step 2: Convert to fraction form
    336,082/738,422 = 738,422/x
  3. Step 3: Cross multiply
    336,082x = 738,422 × 738,422
  4. Step 4: Simplify right side
    336,082x = 545,267,050,084
  5. Step 5: Solve for x
    x = 545,267,050,084/336,082
  6. Step 6: Final answer
    x = 1,622,422.65

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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.