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Finding the Third Proportional to 338,682 and 746,472

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Solution

The third proportional to 338,682 and 746,472 is: 1,645,261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,682 : 746,472 = 746,472 : x
  2. Step 2: Convert to fraction form
    338,682/746,472 = 746,472/x
  3. Step 3: Cross multiply
    338,682x = 746,472 × 746,472
  4. Step 4: Simplify right side
    338,682x = 557,220,446,784
  5. Step 5: Solve for x
    x = 557,220,446,784/338,682
  6. Step 6: Final answer
    x = 1,645,261.47

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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.