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Finding the Third Proportional to 231,781 and 481,325.50

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Solution

The third proportional to 231,781 and 481,325.50 is: 999,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,781 : 481,325.50 = 481,325.50 : x
  2. Step 2: Convert to fraction form
    231,781/481,325.50 = 481,325.50/x
  3. Step 3: Cross multiply
    231,781x = 481,325.50 × 481,325.50
  4. Step 4: Simplify right side
    231,781x = 231,674,236,950.25
  5. Step 5: Solve for x
    x = 231,674,236,950.25/231,781
  6. Step 6: Final answer
    x = 999,539.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.