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Finding the Third Proportional to 433,152.50 and 649,728.75

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Solution

The third proportional to 433,152.50 and 649,728.75 is: 974,593.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,152.50 : 649,728.75 = 649,728.75 : x
  2. Step 2: Convert to fraction form
    433,152.50/649,728.75 = 649,728.75/x
  3. Step 3: Cross multiply
    433,152.50x = 649,728.75 × 649,728.75
  4. Step 4: Simplify right side
    433,152.50x = 422,147,448,576.56
  5. Step 5: Solve for x
    x = 422,147,448,576.56/433,152.50
  6. Step 6: Final answer
    x = 974,593.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.