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Finding the Third Proportional to 266,229 and 579,105

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Solution

The third proportional to 266,229 and 579,105 is: 1,259,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,229 : 579,105 = 579,105 : x
  2. Step 2: Convert to fraction form
    266,229/579,105 = 579,105/x
  3. Step 3: Cross multiply
    266,229x = 579,105 × 579,105
  4. Step 4: Simplify right side
    266,229x = 335,362,601,025
  5. Step 5: Solve for x
    x = 335,362,601,025/266,229
  6. Step 6: Final answer
    x = 1,259,677.20

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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.