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Finding the Third Proportional to 386,378.53 and 829,889.06

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Solution

The third proportional to 386,378.53 and 829,889.06 is: 1,782,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,378.53 : 829,889.06 = 829,889.06 : x
  2. Step 2: Convert to fraction form
    386,378.53/829,889.06 = 829,889.06/x
  3. Step 3: Cross multiply
    386,378.53x = 829,889.06 × 829,889.06
  4. Step 4: Simplify right side
    386,378.53x = 688,715,856,057.13
  5. Step 5: Solve for x
    x = 688,715,856,057.13/386,378.53
  6. Step 6: Final answer
    x = 1,782,489.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.