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Finding the Third Proportional to 320,834.25 and 697,091.63

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Solution

The third proportional to 320,834.25 and 697,091.63 is: 1,514,603.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,834.25 : 697,091.63 = 697,091.63 : x
  2. Step 2: Convert to fraction form
    320,834.25/697,091.63 = 697,091.63/x
  3. Step 3: Cross multiply
    320,834.25x = 697,091.63 × 697,091.63
  4. Step 4: Simplify right side
    320,834.25x = 485,936,733,645.14
  5. Step 5: Solve for x
    x = 485,936,733,645.14/320,834.25
  6. Step 6: Final answer
    x = 1,514,603.67

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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.