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Finding the Third Proportional to 244,225 and 533,234

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Solution

The third proportional to 244,225 and 533,234 is: 1,164,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,225 : 533,234 = 533,234 : x
  2. Step 2: Convert to fraction form
    244,225/533,234 = 533,234/x
  3. Step 3: Cross multiply
    244,225x = 533,234 × 533,234
  4. Step 4: Simplify right side
    244,225x = 284,338,498,756
  5. Step 5: Solve for x
    x = 284,338,498,756/244,225
  6. Step 6: Final answer
    x = 1,164,248.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.