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Finding the Third Proportional to 316,444.50 and 682,365.75

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Solution

The third proportional to 316,444.50 and 682,365.75 is: 1,471,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,444.50 : 682,365.75 = 682,365.75 : x
  2. Step 2: Convert to fraction form
    316,444.50/682,365.75 = 682,365.75/x
  3. Step 3: Cross multiply
    316,444.50x = 682,365.75 × 682,365.75
  4. Step 4: Simplify right side
    316,444.50x = 465,623,016,773.06
  5. Step 5: Solve for x
    x = 465,623,016,773.06/316,444.50
  6. Step 6: Final answer
    x = 1,471,420.79

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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.