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Finding the Third Proportional to 338,674 and 746,462

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Solution

The third proportional to 338,674 and 746,462 is: 1,645,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,674 : 746,462 = 746,462 : x
  2. Step 2: Convert to fraction form
    338,674/746,462 = 746,462/x
  3. Step 3: Cross multiply
    338,674x = 746,462 × 746,462
  4. Step 4: Simplify right side
    338,674x = 557,205,517,444
  5. Step 5: Solve for x
    x = 557,205,517,444/338,674
  6. Step 6: Final answer
    x = 1,645,256.26

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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.