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Finding the Third Proportional to 363,309 and 567,037

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Solution

The third proportional to 363,309 and 567,037 is: 885,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,309 : 567,037 = 567,037 : x
  2. Step 2: Convert to fraction form
    363,309/567,037 = 567,037/x
  3. Step 3: Cross multiply
    363,309x = 567,037 × 567,037
  4. Step 4: Simplify right side
    363,309x = 321,530,959,369
  5. Step 5: Solve for x
    x = 321,530,959,369/363,309
  6. Step 6: Final answer
    x = 885,006.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.