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Finding the Third Proportional to 338,676 and 746,466

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Solution

The third proportional to 338,676 and 746,466 is: 1,645,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,676 : 746,466 = 746,466 : x
  2. Step 2: Convert to fraction form
    338,676/746,466 = 746,466/x
  3. Step 3: Cross multiply
    338,676x = 746,466 × 746,466
  4. Step 4: Simplify right side
    338,676x = 557,211,489,156
  5. Step 5: Solve for x
    x = 557,211,489,156/338,676
  6. Step 6: Final answer
    x = 1,645,264.17

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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.