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Finding the Third Proportional to 320,754 and 696,147

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Solution

The third proportional to 320,754 and 696,147 is: 1,510,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,754 : 696,147 = 696,147 : x
  2. Step 2: Convert to fraction form
    320,754/696,147 = 696,147/x
  3. Step 3: Cross multiply
    320,754x = 696,147 × 696,147
  4. Step 4: Simplify right side
    320,754x = 484,620,645,609
  5. Step 5: Solve for x
    x = 484,620,645,609/320,754
  6. Step 6: Final answer
    x = 1,510,879.51

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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.