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Finding the Third Proportional to 266,695 and 629,557

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Solution

The third proportional to 266,695 and 629,557 is: 1,486,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,695 : 629,557 = 629,557 : x
  2. Step 2: Convert to fraction form
    266,695/629,557 = 629,557/x
  3. Step 3: Cross multiply
    266,695x = 629,557 × 629,557
  4. Step 4: Simplify right side
    266,695x = 396,342,016,249
  5. Step 5: Solve for x
    x = 396,342,016,249/266,695
  6. Step 6: Final answer
    x = 1,486,124.66

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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.