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Finding the Third Proportional to 263,121 and 567,753

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Solution

The third proportional to 263,121 and 567,753 is: 1,225,076.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,121 : 567,753 = 567,753 : x
  2. Step 2: Convert to fraction form
    263,121/567,753 = 567,753/x
  3. Step 3: Cross multiply
    263,121x = 567,753 × 567,753
  4. Step 4: Simplify right side
    263,121x = 322,343,469,009
  5. Step 5: Solve for x
    x = 322,343,469,009/263,121
  6. Step 6: Final answer
    x = 1,225,076.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.