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Finding the Third Proportional to 341,894.13 and 743,991.44

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Solution

The third proportional to 341,894.13 and 743,991.44 is: 1,618,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,894.13 : 743,991.44 = 743,991.44 : x
  2. Step 2: Convert to fraction form
    341,894.13/743,991.44 = 743,991.44/x
  3. Step 3: Cross multiply
    341,894.13x = 743,991.44 × 743,991.44
  4. Step 4: Simplify right side
    341,894.13x = 553,523,259,073.32
  5. Step 5: Solve for x
    x = 553,523,259,073.32/341,894.13
  6. Step 6: Final answer
    x = 1,618,990.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.