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Finding the Third Proportional to 441,527.50 and 982,982

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Solution

The third proportional to 441,527.50 and 982,982 is: 2,188,433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,527.50 : 982,982 = 982,982 : x
  2. Step 2: Convert to fraction form
    441,527.50/982,982 = 982,982/x
  3. Step 3: Cross multiply
    441,527.50x = 982,982 × 982,982
  4. Step 4: Simplify right side
    441,527.50x = 966,253,612,324
  5. Step 5: Solve for x
    x = 966,253,612,324/441,527.50
  6. Step 6: Final answer
    x = 2,188,433.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.