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Finding the Third Proportional to 266,724 and 629,595

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Solution

The third proportional to 266,724 and 629,595 is: 1,486,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,724 : 629,595 = 629,595 : x
  2. Step 2: Convert to fraction form
    266,724/629,595 = 629,595/x
  3. Step 3: Cross multiply
    266,724x = 629,595 × 629,595
  4. Step 4: Simplify right side
    266,724x = 396,389,864,025
  5. Step 5: Solve for x
    x = 396,389,864,025/266,724
  6. Step 6: Final answer
    x = 1,486,142.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.