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Finding the Third Proportional to 443,169 and 649,035

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Solution

The third proportional to 443,169 and 649,035 is: 950,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,169 : 649,035 = 649,035 : x
  2. Step 2: Convert to fraction form
    443,169/649,035 = 649,035/x
  3. Step 3: Cross multiply
    443,169x = 649,035 × 649,035
  4. Step 4: Simplify right side
    443,169x = 421,246,431,225
  5. Step 5: Solve for x
    x = 421,246,431,225/443,169
  6. Step 6: Final answer
    x = 950,532.26

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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.