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Finding the Third Proportional to 329,662 and 705,980

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Solution

The third proportional to 329,662 and 705,980 is: 1,511,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,662 : 705,980 = 705,980 : x
  2. Step 2: Convert to fraction form
    329,662/705,980 = 705,980/x
  3. Step 3: Cross multiply
    329,662x = 705,980 × 705,980
  4. Step 4: Simplify right side
    329,662x = 498,407,760,400
  5. Step 5: Solve for x
    x = 498,407,760,400/329,662
  6. Step 6: Final answer
    x = 1,511,875.07

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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.