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Finding the Third Proportional to 269,809.50 and 577,003.50

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Solution

The third proportional to 269,809.50 and 577,003.50 is: 1,233,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,809.50 : 577,003.50 = 577,003.50 : x
  2. Step 2: Convert to fraction form
    269,809.50/577,003.50 = 577,003.50/x
  3. Step 3: Cross multiply
    269,809.50x = 577,003.50 × 577,003.50
  4. Step 4: Simplify right side
    269,809.50x = 332,933,039,012.25
  5. Step 5: Solve for x
    x = 332,933,039,012.25/269,809.50
  6. Step 6: Final answer
    x = 1,233,955.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.