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Finding the Third Proportional to 270,958.50 and 595,545.75

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Solution

The third proportional to 270,958.50 and 595,545.75 is: 1,308,963.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,958.50 : 595,545.75 = 595,545.75 : x
  2. Step 2: Convert to fraction form
    270,958.50/595,545.75 = 595,545.75/x
  3. Step 3: Cross multiply
    270,958.50x = 595,545.75 × 595,545.75
  4. Step 4: Simplify right side
    270,958.50x = 354,674,740,343.06
  5. Step 5: Solve for x
    x = 354,674,740,343.06/270,958.50
  6. Step 6: Final answer
    x = 1,308,963.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.