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Finding the Third Proportional to 413,754.75 and 892,824.75

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Solution

The third proportional to 413,754.75 and 892,824.75 is: 1,926,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,754.75 : 892,824.75 = 892,824.75 : x
  2. Step 2: Convert to fraction form
    413,754.75/892,824.75 = 892,824.75/x
  3. Step 3: Cross multiply
    413,754.75x = 892,824.75 × 892,824.75
  4. Step 4: Simplify right side
    413,754.75x = 797,136,034,212.56
  5. Step 5: Solve for x
    x = 797,136,034,212.56/413,754.75
  6. Step 6: Final answer
    x = 1,926,590.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.