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Finding the Third Proportional to 228,944.25 and 503,564.63

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Solution

The third proportional to 228,944.25 and 503,564.63 is: 1,107,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,944.25 : 503,564.63 = 503,564.63 : x
  2. Step 2: Convert to fraction form
    228,944.25/503,564.63 = 503,564.63/x
  3. Step 3: Cross multiply
    228,944.25x = 503,564.63 × 503,564.63
  4. Step 4: Simplify right side
    228,944.25x = 253,577,331,551.39
  5. Step 5: Solve for x
    x = 253,577,331,551.39/228,944.25
  6. Step 6: Final answer
    x = 1,107,594.24

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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.