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Finding the Third Proportional to 347,670 and 721,986.75

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Solution

The third proportional to 347,670 and 721,986.75 is: 1,499,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,670 : 721,986.75 = 721,986.75 : x
  2. Step 2: Convert to fraction form
    347,670/721,986.75 = 721,986.75/x
  3. Step 3: Cross multiply
    347,670x = 721,986.75 × 721,986.75
  4. Step 4: Simplify right side
    347,670x = 521,264,867,175.56
  5. Step 5: Solve for x
    x = 521,264,867,175.56/347,670
  6. Step 6: Final answer
    x = 1,499,309.31

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.