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Finding the Third Proportional to 217,690.50 and 329,817

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Solution

The third proportional to 217,690.50 and 329,817 is: 499,696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,690.50 : 329,817 = 329,817 : x
  2. Step 2: Convert to fraction form
    217,690.50/329,817 = 329,817/x
  3. Step 3: Cross multiply
    217,690.50x = 329,817 × 329,817
  4. Step 4: Simplify right side
    217,690.50x = 108,779,253,489
  5. Step 5: Solve for x
    x = 108,779,253,489/217,690.50
  6. Step 6: Final answer
    x = 499,696.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.