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Finding the Third Proportional to 324,235.13 and 517,972.50

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Solution

The third proportional to 324,235.13 and 517,972.50 is: 827,472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,235.13 : 517,972.50 = 517,972.50 : x
  2. Step 2: Convert to fraction form
    324,235.13/517,972.50 = 517,972.50/x
  3. Step 3: Cross multiply
    324,235.13x = 517,972.50 × 517,972.50
  4. Step 4: Simplify right side
    324,235.13x = 268,295,510,756.25
  5. Step 5: Solve for x
    x = 268,295,510,756.25/324,235.13
  6. Step 6: Final answer
    x = 827,472.07

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.