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Finding the Third Proportional to 404,048.25 and 883,821.38

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Solution

The third proportional to 404,048.25 and 883,821.38 is: 1,933,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,048.25 : 883,821.38 = 883,821.38 : x
  2. Step 2: Convert to fraction form
    404,048.25/883,821.38 = 883,821.38/x
  3. Step 3: Cross multiply
    404,048.25x = 883,821.38 × 883,821.38
  4. Step 4: Simplify right side
    404,048.25x = 781,140,222,906.89
  5. Step 5: Solve for x
    x = 781,140,222,906.89/404,048.25
  6. Step 6: Final answer
    x = 1,933,284.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.