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Finding the Third Proportional to 504,536.25 and 779,112.75

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Solution

The third proportional to 504,536.25 and 779,112.75 is: 1,203,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,536.25 : 779,112.75 = 779,112.75 : x
  2. Step 2: Convert to fraction form
    504,536.25/779,112.75 = 779,112.75/x
  3. Step 3: Cross multiply
    504,536.25x = 779,112.75 × 779,112.75
  4. Step 4: Simplify right side
    504,536.25x = 607,016,677,212.56
  5. Step 5: Solve for x
    x = 607,016,677,212.56/504,536.25
  6. Step 6: Final answer
    x = 1,203,118.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.