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Finding the Third Proportional to 228,941.44 and 503,559.28

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Solution

The third proportional to 228,941.44 and 503,559.28 is: 1,107,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,941.44 : 503,559.28 = 503,559.28 : x
  2. Step 2: Convert to fraction form
    228,941.44/503,559.28 = 503,559.28/x
  3. Step 3: Cross multiply
    228,941.44x = 503,559.28 × 503,559.28
  4. Step 4: Simplify right side
    228,941.44x = 253,571,949,733.02
  5. Step 5: Solve for x
    x = 253,571,949,733.02/228,941.44
  6. Step 6: Final answer
    x = 1,107,584.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.