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Finding the Third Proportional to 415,651.50 and 896,163.75

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Solution

The third proportional to 415,651.50 and 896,163.75 is: 1,932,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,651.50 : 896,163.75 = 896,163.75 : x
  2. Step 2: Convert to fraction form
    415,651.50/896,163.75 = 896,163.75/x
  3. Step 3: Cross multiply
    415,651.50x = 896,163.75 × 896,163.75
  4. Step 4: Simplify right side
    415,651.50x = 803,109,466,814.06
  5. Step 5: Solve for x
    x = 803,109,466,814.06/415,651.50
  6. Step 6: Final answer
    x = 1,932,170.26

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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.