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Finding the Third Proportional to 199,532 and 443,405

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Solution

The third proportional to 199,532 and 443,405 is: 985,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,532 : 443,405 = 443,405 : x
  2. Step 2: Convert to fraction form
    199,532/443,405 = 443,405/x
  3. Step 3: Cross multiply
    199,532x = 443,405 × 443,405
  4. Step 4: Simplify right side
    199,532x = 196,607,994,025
  5. Step 5: Solve for x
    x = 196,607,994,025/199,532
  6. Step 6: Final answer
    x = 985,345.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.