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Finding the Third Proportional to 322,937.44 and 504,027.84

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Solution

The third proportional to 322,937.44 and 504,027.84 is: 786,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,937.44 : 504,027.84 = 504,027.84 : x
  2. Step 2: Convert to fraction form
    322,937.44/504,027.84 = 504,027.84/x
  3. Step 3: Cross multiply
    322,937.44x = 504,027.84 × 504,027.84
  4. Step 4: Simplify right side
    322,937.44x = 254,044,067,275.27
  5. Step 5: Solve for x
    x = 254,044,067,275.27/322,937.44
  6. Step 6: Final answer
    x = 786,666.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.