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Finding the Third Proportional to 443,233.50 and 649,125.75

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Solution

The third proportional to 443,233.50 and 649,125.75 is: 950,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,233.50 : 649,125.75 = 649,125.75 : x
  2. Step 2: Convert to fraction form
    443,233.50/649,125.75 = 649,125.75/x
  3. Step 3: Cross multiply
    443,233.50x = 649,125.75 × 649,125.75
  4. Step 4: Simplify right side
    443,233.50x = 421,364,239,313.06
  5. Step 5: Solve for x
    x = 421,364,239,313.06/443,233.50
  6. Step 6: Final answer
    x = 950,659.73

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.