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Finding the Third Proportional to 204,323.77 and 403,407.84

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Solution

The third proportional to 204,323.77 and 403,407.84 is: 796,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,323.77 : 403,407.84 = 403,407.84 : x
  2. Step 2: Convert to fraction form
    204,323.77/403,407.84 = 403,407.84/x
  3. Step 3: Cross multiply
    204,323.77x = 403,407.84 × 403,407.84
  4. Step 4: Simplify right side
    204,323.77x = 162,737,888,399.02
  5. Step 5: Solve for x
    x = 162,737,888,399.02/204,323.77
  6. Step 6: Final answer
    x = 796,470.68

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.