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Finding the Third Proportional to 360,991.69 and 694,235.81

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Solution

The third proportional to 360,991.69 and 694,235.81 is: 1,335,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,991.69 : 694,235.81 = 694,235.81 : x
  2. Step 2: Convert to fraction form
    360,991.69/694,235.81 = 694,235.81/x
  3. Step 3: Cross multiply
    360,991.69x = 694,235.81 × 694,235.81
  4. Step 4: Simplify right side
    360,991.69x = 481,963,363,357.54
  5. Step 5: Solve for x
    x = 481,963,363,357.54/360,991.69
  6. Step 6: Final answer
    x = 1,335,109.31

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.