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Finding the Third Proportional to 266,738.06 and 474,267.66

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Solution

The third proportional to 266,738.06 and 474,267.66 is: 843,261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,738.06 : 474,267.66 = 474,267.66 : x
  2. Step 2: Convert to fraction form
    266,738.06/474,267.66 = 474,267.66/x
  3. Step 3: Cross multiply
    266,738.06x = 474,267.66 × 474,267.66
  4. Step 4: Simplify right side
    266,738.06x = 224,929,809,764.87
  5. Step 5: Solve for x
    x = 224,929,809,764.87/266,738.06
  6. Step 6: Final answer
    x = 843,261.02

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.