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Finding the Third Proportional to 320,695 and 696,037

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Solution

The third proportional to 320,695 and 696,037 is: 1,510,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,695 : 696,037 = 696,037 : x
  2. Step 2: Convert to fraction form
    320,695/696,037 = 696,037/x
  3. Step 3: Cross multiply
    320,695x = 696,037 × 696,037
  4. Step 4: Simplify right side
    320,695x = 484,467,505,369
  5. Step 5: Solve for x
    x = 484,467,505,369/320,695
  6. Step 6: Final answer
    x = 1,510,679.95

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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.