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Finding the Third Proportional to 266,967 and 567,844.50

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Solution

The third proportional to 266,967 and 567,844.50 is: 1,207,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,967 : 567,844.50 = 567,844.50 : x
  2. Step 2: Convert to fraction form
    266,967/567,844.50 = 567,844.50/x
  3. Step 3: Cross multiply
    266,967x = 567,844.50 × 567,844.50
  4. Step 4: Simplify right side
    266,967x = 322,447,376,180.25
  5. Step 5: Solve for x
    x = 322,447,376,180.25/266,967
  6. Step 6: Final answer
    x = 1,207,817.36

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