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Finding the Third Proportional to 329,265 and 674,082

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Solution

The third proportional to 329,265 and 674,082 is: 1,380,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,265 : 674,082 = 674,082 : x
  2. Step 2: Convert to fraction form
    329,265/674,082 = 674,082/x
  3. Step 3: Cross multiply
    329,265x = 674,082 × 674,082
  4. Step 4: Simplify right side
    329,265x = 454,386,542,724
  5. Step 5: Solve for x
    x = 454,386,542,724/329,265
  6. Step 6: Final answer
    x = 1,380,002.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.