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Finding the Third Proportional to 467,147.50 and 1,024,727

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Solution

The third proportional to 467,147.50 and 1,024,727 is: 2,247,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,147.50 : 1,024,727 = 1,024,727 : x
  2. Step 2: Convert to fraction form
    467,147.50/1,024,727 = 1,024,727/x
  3. Step 3: Cross multiply
    467,147.50x = 1,024,727 × 1,024,727
  4. Step 4: Simplify right side
    467,147.50x = 1,050,065,424,529
  5. Step 5: Solve for x
    x = 1,050,065,424,529/467,147.50
  6. Step 6: Final answer
    x = 2,247,824.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.