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Finding the Third Proportional to 281,571.19 and 583,102.69

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Solution

The third proportional to 281,571.19 and 583,102.69 is: 1,207,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,571.19 : 583,102.69 = 583,102.69 : x
  2. Step 2: Convert to fraction form
    281,571.19/583,102.69 = 583,102.69/x
  3. Step 3: Cross multiply
    281,571.19x = 583,102.69 × 583,102.69
  4. Step 4: Simplify right side
    281,571.19x = 340,008,744,169.72
  5. Step 5: Solve for x
    x = 340,008,744,169.72/281,571.19
  6. Step 6: Final answer
    x = 1,207,540.97

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.