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Finding the Third Proportional to 236,587.50 and 512,520.75

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Solution

The third proportional to 236,587.50 and 512,520.75 is: 1,110,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,587.50 : 512,520.75 = 512,520.75 : x
  2. Step 2: Convert to fraction form
    236,587.50/512,520.75 = 512,520.75/x
  3. Step 3: Cross multiply
    236,587.50x = 512,520.75 × 512,520.75
  4. Step 4: Simplify right side
    236,587.50x = 262,677,519,180.56
  5. Step 5: Solve for x
    x = 262,677,519,180.56/236,587.50
  6. Step 6: Final answer
    x = 1,110,276.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.