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Finding the Third Proportional to 199,527 and 443,343

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Solution

The third proportional to 199,527 and 443,343 is: 985,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,527 : 443,343 = 443,343 : x
  2. Step 2: Convert to fraction form
    199,527/443,343 = 443,343/x
  3. Step 3: Cross multiply
    199,527x = 443,343 × 443,343
  4. Step 4: Simplify right side
    199,527x = 196,553,015,649
  5. Step 5: Solve for x
    x = 196,553,015,649/199,527
  6. Step 6: Final answer
    x = 985,094.83

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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.