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Finding the Third Proportional to 266,118 and 401,939

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Solution

The third proportional to 266,118 and 401,939 is: 607,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,118 : 401,939 = 401,939 : x
  2. Step 2: Convert to fraction form
    266,118/401,939 = 401,939/x
  3. Step 3: Cross multiply
    266,118x = 401,939 × 401,939
  4. Step 4: Simplify right side
    266,118x = 161,554,959,721
  5. Step 5: Solve for x
    x = 161,554,959,721/266,118
  6. Step 6: Final answer
    x = 607,080.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.