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Finding the Third Proportional to 347,753.25 and 741,435.75

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Solution

The third proportional to 347,753.25 and 741,435.75 is: 1,580,796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,753.25 : 741,435.75 = 741,435.75 : x
  2. Step 2: Convert to fraction form
    347,753.25/741,435.75 = 741,435.75/x
  3. Step 3: Cross multiply
    347,753.25x = 741,435.75 × 741,435.75
  4. Step 4: Simplify right side
    347,753.25x = 549,726,971,378.06
  5. Step 5: Solve for x
    x = 549,726,971,378.06/347,753.25
  6. Step 6: Final answer
    x = 1,580,796.07

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.