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Finding the Third Proportional to 266,080 and 401,883

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Solution

The third proportional to 266,080 and 401,883 is: 606,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,080 : 401,883 = 401,883 : x
  2. Step 2: Convert to fraction form
    266,080/401,883 = 401,883/x
  3. Step 3: Cross multiply
    266,080x = 401,883 × 401,883
  4. Step 4: Simplify right side
    266,080x = 161,509,945,689
  5. Step 5: Solve for x
    x = 161,509,945,689/266,080
  6. Step 6: Final answer
    x = 606,997.69

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Why These Related Problems?

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