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Finding the Third Proportional to 244,046 and 447,592

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Solution

The third proportional to 244,046 and 447,592 is: 820,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,046 : 447,592 = 447,592 : x
  2. Step 2: Convert to fraction form
    244,046/447,592 = 447,592/x
  3. Step 3: Cross multiply
    244,046x = 447,592 × 447,592
  4. Step 4: Simplify right side
    244,046x = 200,338,598,464
  5. Step 5: Solve for x
    x = 200,338,598,464/244,046
  6. Step 6: Final answer
    x = 820,905.07

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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.