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Finding the Third Proportional to 239,705.50 and 532,619

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Solution

The third proportional to 239,705.50 and 532,619 is: 1,183,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,705.50 : 532,619 = 532,619 : x
  2. Step 2: Convert to fraction form
    239,705.50/532,619 = 532,619/x
  3. Step 3: Cross multiply
    239,705.50x = 532,619 × 532,619
  4. Step 4: Simplify right side
    239,705.50x = 283,682,999,161
  5. Step 5: Solve for x
    x = 283,682,999,161/239,705.50
  6. Step 6: Final answer
    x = 1,183,464.71

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Why These Related Problems?

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