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Finding the Third Proportional to 239,625.50 and 512,912

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Solution

The third proportional to 239,625.50 and 512,912 is: 1,097,874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,625.50 : 512,912 = 512,912 : x
  2. Step 2: Convert to fraction form
    239,625.50/512,912 = 512,912/x
  3. Step 3: Cross multiply
    239,625.50x = 512,912 × 512,912
  4. Step 4: Simplify right side
    239,625.50x = 263,078,719,744
  5. Step 5: Solve for x
    x = 263,078,719,744/239,625.50
  6. Step 6: Final answer
    x = 1,097,874.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.