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Finding the Third Proportional to 266,724 and 412,722

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Solution

The third proportional to 266,724 and 412,722 is: 638,635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,724 : 412,722 = 412,722 : x
  2. Step 2: Convert to fraction form
    266,724/412,722 = 412,722/x
  3. Step 3: Cross multiply
    266,724x = 412,722 × 412,722
  4. Step 4: Simplify right side
    266,724x = 170,339,449,284
  5. Step 5: Solve for x
    x = 170,339,449,284/266,724
  6. Step 6: Final answer
    x = 638,635.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.