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Finding the Third Proportional to 215,844.75 and 474,518.25

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Solution

The third proportional to 215,844.75 and 474,518.25 is: 1,043,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,844.75 : 474,518.25 = 474,518.25 : x
  2. Step 2: Convert to fraction form
    215,844.75/474,518.25 = 474,518.25/x
  3. Step 3: Cross multiply
    215,844.75x = 474,518.25 × 474,518.25
  4. Step 4: Simplify right side
    215,844.75x = 225,167,569,583.06
  5. Step 5: Solve for x
    x = 225,167,569,583.06/215,844.75
  6. Step 6: Final answer
    x = 1,043,192.25

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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.