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Finding the Third Proportional to 323,940.83 and 697,550.48

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Solution

The third proportional to 323,940.83 and 697,550.48 is: 1,502,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,940.83 : 697,550.48 = 697,550.48 : x
  2. Step 2: Convert to fraction form
    323,940.83/697,550.48 = 697,550.48/x
  3. Step 3: Cross multiply
    323,940.83x = 697,550.48 × 697,550.48
  4. Step 4: Simplify right side
    323,940.83x = 486,576,678,251.80
  5. Step 5: Solve for x
    x = 486,576,678,251.80/323,940.83
  6. Step 6: Final answer
    x = 1,502,054.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.