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Finding the Third Proportional to 228,743.50 and 504,023

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Solution

The third proportional to 228,743.50 and 504,023 is: 1,110,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,743.50 : 504,023 = 504,023 : x
  2. Step 2: Convert to fraction form
    228,743.50/504,023 = 504,023/x
  3. Step 3: Cross multiply
    228,743.50x = 504,023 × 504,023
  4. Step 4: Simplify right side
    228,743.50x = 254,039,184,529
  5. Step 5: Solve for x
    x = 254,039,184,529/228,743.50
  6. Step 6: Final answer
    x = 1,110,585.37

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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.