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Finding the Third Proportional to 443,846 and 649,157

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Solution

The third proportional to 443,846 and 649,157 is: 949,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,846 : 649,157 = 649,157 : x
  2. Step 2: Convert to fraction form
    443,846/649,157 = 649,157/x
  3. Step 3: Cross multiply
    443,846x = 649,157 × 649,157
  4. Step 4: Simplify right side
    443,846x = 421,404,810,649
  5. Step 5: Solve for x
    x = 421,404,810,649/443,846
  6. Step 6: Final answer
    x = 949,439.24

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Why These Related Problems?

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