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Finding the Third Proportional to 217,759.50 and 512,349.75

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Solution

The third proportional to 217,759.50 and 512,349.75 is: 1,205,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,759.50 : 512,349.75 = 512,349.75 : x
  2. Step 2: Convert to fraction form
    217,759.50/512,349.75 = 512,349.75/x
  3. Step 3: Cross multiply
    217,759.50x = 512,349.75 × 512,349.75
  4. Step 4: Simplify right side
    217,759.50x = 262,502,266,325.06
  5. Step 5: Solve for x
    x = 262,502,266,325.06/217,759.50
  6. Step 6: Final answer
    x = 1,205,468.72

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.