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Finding the Third Proportional to 338,164.88 and 729,546.75

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Solution

The third proportional to 338,164.88 and 729,546.75 is: 1,573,902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,164.88 : 729,546.75 = 729,546.75 : x
  2. Step 2: Convert to fraction form
    338,164.88/729,546.75 = 729,546.75/x
  3. Step 3: Cross multiply
    338,164.88x = 729,546.75 × 729,546.75
  4. Step 4: Simplify right side
    338,164.88x = 532,238,460,435.56
  5. Step 5: Solve for x
    x = 532,238,460,435.56/338,164.88
  6. Step 6: Final answer
    x = 1,573,902.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.