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Finding the Third Proportional to 269,662.50 and 599,182.50

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Solution

The third proportional to 269,662.50 and 599,182.50 is: 1,331,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,662.50 : 599,182.50 = 599,182.50 : x
  2. Step 2: Convert to fraction form
    269,662.50/599,182.50 = 599,182.50/x
  3. Step 3: Cross multiply
    269,662.50x = 599,182.50 × 599,182.50
  4. Step 4: Simplify right side
    269,662.50x = 359,019,668,306.25
  5. Step 5: Solve for x
    x = 359,019,668,306.25/269,662.50
  6. Step 6: Final answer
    x = 1,331,366.68

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.