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Finding the Third Proportional to 266,250 and 579,156

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Solution

The third proportional to 266,250 and 579,156 is: 1,259,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,250 : 579,156 = 579,156 : x
  2. Step 2: Convert to fraction form
    266,250/579,156 = 579,156/x
  3. Step 3: Cross multiply
    266,250x = 579,156 × 579,156
  4. Step 4: Simplify right side
    266,250x = 335,421,672,336
  5. Step 5: Solve for x
    x = 335,421,672,336/266,250
  6. Step 6: Final answer
    x = 1,259,799.71

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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.