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Finding the Third Proportional to 236,401.50 and 512,128.50

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Solution

The third proportional to 236,401.50 and 512,128.50 is: 1,109,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,401.50 : 512,128.50 = 512,128.50 : x
  2. Step 2: Convert to fraction form
    236,401.50/512,128.50 = 512,128.50/x
  3. Step 3: Cross multiply
    236,401.50x = 512,128.50 × 512,128.50
  4. Step 4: Simplify right side
    236,401.50x = 262,275,600,512.25
  5. Step 5: Solve for x
    x = 262,275,600,512.25/236,401.50
  6. Step 6: Final answer
    x = 1,109,449.82

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