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Finding the Third Proportional to 474,320.25 and 622,743.75

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Solution

The third proportional to 474,320.25 and 622,743.75 is: 817,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,320.25 : 622,743.75 = 622,743.75 : x
  2. Step 2: Convert to fraction form
    474,320.25/622,743.75 = 622,743.75/x
  3. Step 3: Cross multiply
    474,320.25x = 622,743.75 × 622,743.75
  4. Step 4: Simplify right side
    474,320.25x = 387,809,778,164.06
  5. Step 5: Solve for x
    x = 387,809,778,164.06/474,320.25
  6. Step 6: Final answer
    x = 817,611.68

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.