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Finding the Third Proportional to 228,131.44 and 528,109.24

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Solution

The third proportional to 228,131.44 and 528,109.24 is: 1,222,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,131.44 : 528,109.24 = 528,109.24 : x
  2. Step 2: Convert to fraction form
    228,131.44/528,109.24 = 528,109.24/x
  3. Step 3: Cross multiply
    228,131.44x = 528,109.24 × 528,109.24
  4. Step 4: Simplify right side
    228,131.44x = 278,899,371,683.86
  5. Step 5: Solve for x
    x = 278,899,371,683.86/228,131.44
  6. Step 6: Final answer
    x = 1,222,538.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.