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Finding the Third Proportional to 331,343.50 and 518,338.50

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Solution

The third proportional to 331,343.50 and 518,338.50 is: 810,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,343.50 : 518,338.50 = 518,338.50 : x
  2. Step 2: Convert to fraction form
    331,343.50/518,338.50 = 518,338.50/x
  3. Step 3: Cross multiply
    331,343.50x = 518,338.50 × 518,338.50
  4. Step 4: Simplify right side
    331,343.50x = 268,674,800,582.25
  5. Step 5: Solve for x
    x = 268,674,800,582.25/331,343.50
  6. Step 6: Final answer
    x = 810,864.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.