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Finding the Third Proportional to 569,578 and 801,073

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Solution

The third proportional to 569,578 and 801,073 is: 1,126,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,578 : 801,073 = 801,073 : x
  2. Step 2: Convert to fraction form
    569,578/801,073 = 801,073/x
  3. Step 3: Cross multiply
    569,578x = 801,073 × 801,073
  4. Step 4: Simplify right side
    569,578x = 641,717,951,329
  5. Step 5: Solve for x
    x = 641,717,951,329/569,578
  6. Step 6: Final answer
    x = 1,126,655.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.