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Finding the Third Proportional to 443,164.50 and 649,029.38

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Solution

The third proportional to 443,164.50 and 649,029.38 is: 950,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,164.50 : 649,029.38 = 649,029.38 : x
  2. Step 2: Convert to fraction form
    443,164.50/649,029.38 = 649,029.38/x
  3. Step 3: Cross multiply
    443,164.50x = 649,029.38 × 649,029.38
  4. Step 4: Simplify right side
    443,164.50x = 421,239,129,612.89
  5. Step 5: Solve for x
    x = 421,239,129,612.89/443,164.50
  6. Step 6: Final answer
    x = 950,525.44

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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.