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Finding the Third Proportional to 239,212.50 and 512,769

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Solution

The third proportional to 239,212.50 and 512,769 is: 1,099,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,212.50 : 512,769 = 512,769 : x
  2. Step 2: Convert to fraction form
    239,212.50/512,769 = 512,769/x
  3. Step 3: Cross multiply
    239,212.50x = 512,769 × 512,769
  4. Step 4: Simplify right side
    239,212.50x = 262,932,047,361
  5. Step 5: Solve for x
    x = 262,932,047,361/239,212.50
  6. Step 6: Final answer
    x = 1,099,156.81

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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.