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Finding the Third Proportional to 416,392.25 and 904,132.75

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Solution

The third proportional to 416,392.25 and 904,132.75 is: 1,963,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,392.25 : 904,132.75 = 904,132.75 : x
  2. Step 2: Convert to fraction form
    416,392.25/904,132.75 = 904,132.75/x
  3. Step 3: Cross multiply
    416,392.25x = 904,132.75 × 904,132.75
  4. Step 4: Simplify right side
    416,392.25x = 817,456,029,622.56
  5. Step 5: Solve for x
    x = 817,456,029,622.56/416,392.25
  6. Step 6: Final answer
    x = 1,963,187.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.