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Finding the Third Proportional to 368,342 and 519,912.50

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Solution

The third proportional to 368,342 and 519,912.50 is: 733,853.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,342 : 519,912.50 = 519,912.50 : x
  2. Step 2: Convert to fraction form
    368,342/519,912.50 = 519,912.50/x
  3. Step 3: Cross multiply
    368,342x = 519,912.50 × 519,912.50
  4. Step 4: Simplify right side
    368,342x = 270,309,007,656.25
  5. Step 5: Solve for x
    x = 270,309,007,656.25/368,342
  6. Step 6: Final answer
    x = 733,853.34

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.