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Finding the Third Proportional to 254,651.25 and 539,658.38

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Solution

The third proportional to 254,651.25 and 539,658.38 is: 1,143,647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,651.25 : 539,658.38 = 539,658.38 : x
  2. Step 2: Convert to fraction form
    254,651.25/539,658.38 = 539,658.38/x
  3. Step 3: Cross multiply
    254,651.25x = 539,658.38 × 539,658.38
  4. Step 4: Simplify right side
    254,651.25x = 291,231,161,707.64
  5. Step 5: Solve for x
    x = 291,231,161,707.64/254,651.25
  6. Step 6: Final answer
    x = 1,143,647.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.