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Finding the Third Proportional to 266,966 and 567,843

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Solution

The third proportional to 266,966 and 567,843 is: 1,207,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,966 : 567,843 = 567,843 : x
  2. Step 2: Convert to fraction form
    266,966/567,843 = 567,843/x
  3. Step 3: Cross multiply
    266,966x = 567,843 × 567,843
  4. Step 4: Simplify right side
    266,966x = 322,445,672,649
  5. Step 5: Solve for x
    x = 322,445,672,649/266,966
  6. Step 6: Final answer
    x = 1,207,815.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.