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Finding the Third Proportional to 649,437.75 and 967,231.13

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Solution

The third proportional to 649,437.75 and 967,231.13 is: 1,440,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,437.75 : 967,231.13 = 967,231.13 : x
  2. Step 2: Convert to fraction form
    649,437.75/967,231.13 = 967,231.13/x
  3. Step 3: Cross multiply
    649,437.75x = 967,231.13 × 967,231.13
  4. Step 4: Simplify right side
    649,437.75x = 935,536,049,168.77
  5. Step 5: Solve for x
    x = 935,536,049,168.77/649,437.75
  6. Step 6: Final answer
    x = 1,440,532.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.