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Finding the Third Proportional to 266,235 and 579,116

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Solution

The third proportional to 266,235 and 579,116 is: 1,259,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,235 : 579,116 = 579,116 : x
  2. Step 2: Convert to fraction form
    266,235/579,116 = 579,116/x
  3. Step 3: Cross multiply
    266,235x = 579,116 × 579,116
  4. Step 4: Simplify right side
    266,235x = 335,375,341,456
  5. Step 5: Solve for x
    x = 335,375,341,456/266,235
  6. Step 6: Final answer
    x = 1,259,696.66

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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.