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Finding the Third Proportional to 232,769.50 and 499,986.50

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Solution

The third proportional to 232,769.50 and 499,986.50 is: 1,073,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,769.50 : 499,986.50 = 499,986.50 : x
  2. Step 2: Convert to fraction form
    232,769.50/499,986.50 = 499,986.50/x
  3. Step 3: Cross multiply
    232,769.50x = 499,986.50 × 499,986.50
  4. Step 4: Simplify right side
    232,769.50x = 249,986,500,182.25
  5. Step 5: Solve for x
    x = 249,986,500,182.25/232,769.50
  6. Step 6: Final answer
    x = 1,073,965.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.