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Finding the Third Proportional to 219,383.25 and 474,747.75

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Solution

The third proportional to 219,383.25 and 474,747.75 is: 1,027,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,383.25 : 474,747.75 = 474,747.75 : x
  2. Step 2: Convert to fraction form
    219,383.25/474,747.75 = 474,747.75/x
  3. Step 3: Cross multiply
    219,383.25x = 474,747.75 × 474,747.75
  4. Step 4: Simplify right side
    219,383.25x = 225,385,426,130.06
  5. Step 5: Solve for x
    x = 225,385,426,130.06/219,383.25
  6. Step 6: Final answer
    x = 1,027,359.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.