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Finding the Third Proportional to 379,016.06 and 829,246.88

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Solution

The third proportional to 379,016.06 and 829,246.88 is: 1,814,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,016.06 : 829,246.88 = 829,246.88 : x
  2. Step 2: Convert to fraction form
    379,016.06/829,246.88 = 829,246.88/x
  3. Step 3: Cross multiply
    379,016.06x = 829,246.88 × 829,246.88
  4. Step 4: Simplify right side
    379,016.06x = 687,650,379,697.27
  5. Step 5: Solve for x
    x = 687,650,379,697.27/379,016.06
  6. Step 6: Final answer
    x = 1,814,304.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.