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Finding the Third Proportional to 232,485.19 and 474,796.69

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Solution

The third proportional to 232,485.19 and 474,796.69 is: 969,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,485.19 : 474,796.69 = 474,796.69 : x
  2. Step 2: Convert to fraction form
    232,485.19/474,796.69 = 474,796.69/x
  3. Step 3: Cross multiply
    232,485.19x = 474,796.69 × 474,796.69
  4. Step 4: Simplify right side
    232,485.19x = 225,431,894,460.97
  5. Step 5: Solve for x
    x = 225,431,894,460.97/232,485.19
  6. Step 6: Final answer
    x = 969,661.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.