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Finding the Third Proportional to 416,399.25 and 904,146.75

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Solution

The third proportional to 416,399.25 and 904,146.75 is: 1,963,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,399.25 : 904,146.75 = 904,146.75 : x
  2. Step 2: Convert to fraction form
    416,399.25/904,146.75 = 904,146.75/x
  3. Step 3: Cross multiply
    416,399.25x = 904,146.75 × 904,146.75
  4. Step 4: Simplify right side
    416,399.25x = 817,481,345,535.56
  5. Step 5: Solve for x
    x = 817,481,345,535.56/416,399.25
  6. Step 6: Final answer
    x = 1,963,215.22

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Why These Related Problems?

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