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Finding the Third Proportional to 219,246.75 and 471,799.69

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Solution

The third proportional to 219,246.75 and 471,799.69 is: 1,015,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,246.75 : 471,799.69 = 471,799.69 : x
  2. Step 2: Convert to fraction form
    219,246.75/471,799.69 = 471,799.69/x
  3. Step 3: Cross multiply
    219,246.75x = 471,799.69 × 471,799.69
  4. Step 4: Simplify right side
    219,246.75x = 222,594,945,125.10
  5. Step 5: Solve for x
    x = 222,594,945,125.10/219,246.75
  6. Step 6: Final answer
    x = 1,015,271.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.