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Finding the Third Proportional to 334,398.38 and 727,845.75

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Solution

The third proportional to 334,398.38 and 727,845.75 is: 1,584,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,398.38 : 727,845.75 = 727,845.75 : x
  2. Step 2: Convert to fraction form
    334,398.38/727,845.75 = 727,845.75/x
  3. Step 3: Cross multiply
    334,398.38x = 727,845.75 × 727,845.75
  4. Step 4: Simplify right side
    334,398.38x = 529,759,435,793.06
  5. Step 5: Solve for x
    x = 529,759,435,793.06/334,398.38
  6. Step 6: Final answer
    x = 1,584,216.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.