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Finding the Third Proportional to 329,661 and 705,978

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Solution

The third proportional to 329,661 and 705,978 is: 1,511,871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,661 : 705,978 = 705,978 : x
  2. Step 2: Convert to fraction form
    329,661/705,978 = 705,978/x
  3. Step 3: Cross multiply
    329,661x = 705,978 × 705,978
  4. Step 4: Simplify right side
    329,661x = 498,404,936,484
  5. Step 5: Solve for x
    x = 498,404,936,484/329,661
  6. Step 6: Final answer
    x = 1,511,871.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.