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Finding the Third Proportional to 217,282.50 and 470,739.09

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Solution

The third proportional to 217,282.50 and 470,739.09 is: 1,019,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,282.50 : 470,739.09 = 470,739.09 : x
  2. Step 2: Convert to fraction form
    217,282.50/470,739.09 = 470,739.09/x
  3. Step 3: Cross multiply
    217,282.50x = 470,739.09 × 470,739.09
  4. Step 4: Simplify right side
    217,282.50x = 221,595,294,384.57
  5. Step 5: Solve for x
    x = 221,595,294,384.57/217,282.50
  6. Step 6: Final answer
    x = 1,019,848.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.