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Finding the Third Proportional to 266,296 and 579,612

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Solution

The third proportional to 266,296 and 579,612 is: 1,261,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,296 : 579,612 = 579,612 : x
  2. Step 2: Convert to fraction form
    266,296/579,612 = 579,612/x
  3. Step 3: Cross multiply
    266,296x = 579,612 × 579,612
  4. Step 4: Simplify right side
    266,296x = 335,950,070,544
  5. Step 5: Solve for x
    x = 335,950,070,544/266,296
  6. Step 6: Final answer
    x = 1,261,566.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.