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Finding the Third Proportional to 365,516.25 and 801,651.75

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Solution

The third proportional to 365,516.25 and 801,651.75 is: 1,758,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,516.25 : 801,651.75 = 801,651.75 : x
  2. Step 2: Convert to fraction form
    365,516.25/801,651.75 = 801,651.75/x
  3. Step 3: Cross multiply
    365,516.25x = 801,651.75 × 801,651.75
  4. Step 4: Simplify right side
    365,516.25x = 642,645,528,278.06
  5. Step 5: Solve for x
    x = 642,645,528,278.06/365,516.25
  6. Step 6: Final answer
    x = 1,758,185.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.