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Finding the Third Proportional to 266,722 and 579,233

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Solution

The third proportional to 266,722 and 579,233 is: 1,257,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,722 : 579,233 = 579,233 : x
  2. Step 2: Convert to fraction form
    266,722/579,233 = 579,233/x
  3. Step 3: Cross multiply
    266,722x = 579,233 × 579,233
  4. Step 4: Simplify right side
    266,722x = 335,510,868,289
  5. Step 5: Solve for x
    x = 335,510,868,289/266,722
  6. Step 6: Final answer
    x = 1,257,904.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.