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Finding the Third Proportional to 269,232.75 and 583,040.25

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Solution

The third proportional to 269,232.75 and 583,040.25 is: 1,262,609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,232.75 : 583,040.25 = 583,040.25 : x
  2. Step 2: Convert to fraction form
    269,232.75/583,040.25 = 583,040.25/x
  3. Step 3: Cross multiply
    269,232.75x = 583,040.25 × 583,040.25
  4. Step 4: Simplify right side
    269,232.75x = 339,935,933,120.06
  5. Step 5: Solve for x
    x = 339,935,933,120.06/269,232.75
  6. Step 6: Final answer
    x = 1,262,609.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.