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Finding the Third Proportional to 414,834.75 and 904,754.25

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Solution

The third proportional to 414,834.75 and 904,754.25 is: 1,973,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,834.75 : 904,754.25 = 904,754.25 : x
  2. Step 2: Convert to fraction form
    414,834.75/904,754.25 = 904,754.25/x
  3. Step 3: Cross multiply
    414,834.75x = 904,754.25 × 904,754.25
  4. Step 4: Simplify right side
    414,834.75x = 818,580,252,893.06
  5. Step 5: Solve for x
    x = 818,580,252,893.06/414,834.75
  6. Step 6: Final answer
    x = 1,973,268.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.