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Finding the Third Proportional to 266,077 and 421,247

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Solution

The third proportional to 266,077 and 421,247 is: 666,908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,077 : 421,247 = 421,247 : x
  2. Step 2: Convert to fraction form
    266,077/421,247 = 421,247/x
  3. Step 3: Cross multiply
    266,077x = 421,247 × 421,247
  4. Step 4: Simplify right side
    266,077x = 177,449,035,009
  5. Step 5: Solve for x
    x = 177,449,035,009/266,077
  6. Step 6: Final answer
    x = 666,908.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.