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Finding the Third Proportional to 341,998 and 741,956

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Solution

The third proportional to 341,998 and 741,956 is: 1,609,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,998 : 741,956 = 741,956 : x
  2. Step 2: Convert to fraction form
    341,998/741,956 = 741,956/x
  3. Step 3: Cross multiply
    341,998x = 741,956 × 741,956
  4. Step 4: Simplify right side
    341,998x = 550,498,705,936
  5. Step 5: Solve for x
    x = 550,498,705,936/341,998
  6. Step 6: Final answer
    x = 1,609,654.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.