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Finding the Third Proportional to 241,716.75 and 503,282.25

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Solution

The third proportional to 241,716.75 and 503,282.25 is: 1,047,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,716.75 : 503,282.25 = 503,282.25 : x
  2. Step 2: Convert to fraction form
    241,716.75/503,282.25 = 503,282.25/x
  3. Step 3: Cross multiply
    241,716.75x = 503,282.25 × 503,282.25
  4. Step 4: Simplify right side
    241,716.75x = 253,293,023,165.06
  5. Step 5: Solve for x
    x = 253,293,023,165.06/241,716.75
  6. Step 6: Final answer
    x = 1,047,891.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.