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Finding the Third Proportional to 244,049 and 447,598

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Solution

The third proportional to 244,049 and 447,598 is: 820,916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,049 : 447,598 = 447,598 : x
  2. Step 2: Convert to fraction form
    244,049/447,598 = 447,598/x
  3. Step 3: Cross multiply
    244,049x = 447,598 × 447,598
  4. Step 4: Simplify right side
    244,049x = 200,343,969,604
  5. Step 5: Solve for x
    x = 200,343,969,604/244,049
  6. Step 6: Final answer
    x = 820,916.99

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.