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Finding the Third Proportional to 217,044.56 and 465,238.69

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Solution

The third proportional to 217,044.56 and 465,238.69 is: 997,246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,044.56 : 465,238.69 = 465,238.69 : x
  2. Step 2: Convert to fraction form
    217,044.56/465,238.69 = 465,238.69/x
  3. Step 3: Cross multiply
    217,044.56x = 465,238.69 × 465,238.69
  4. Step 4: Simplify right side
    217,044.56x = 216,447,036,346.72
  5. Step 5: Solve for x
    x = 216,447,036,346.72/217,044.56
  6. Step 6: Final answer
    x = 997,246.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.