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Finding the Third Proportional to 413,093.25 and 907,485.75

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Solution

The third proportional to 413,093.25 and 907,485.75 is: 1,993,570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,093.25 : 907,485.75 = 907,485.75 : x
  2. Step 2: Convert to fraction form
    413,093.25/907,485.75 = 907,485.75/x
  3. Step 3: Cross multiply
    413,093.25x = 907,485.75 × 907,485.75
  4. Step 4: Simplify right side
    413,093.25x = 823,530,386,453.06
  5. Step 5: Solve for x
    x = 823,530,386,453.06/413,093.25
  6. Step 6: Final answer
    x = 1,993,570.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.