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Finding the Third Proportional to 239,760 and 486,607.50

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Solution

The third proportional to 239,760 and 486,607.50 is: 987,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,760 : 486,607.50 = 486,607.50 : x
  2. Step 2: Convert to fraction form
    239,760/486,607.50 = 486,607.50/x
  3. Step 3: Cross multiply
    239,760x = 486,607.50 × 486,607.50
  4. Step 4: Simplify right side
    239,760x = 236,786,859,056.25
  5. Step 5: Solve for x
    x = 236,786,859,056.25/239,760
  6. Step 6: Final answer
    x = 987,599.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.