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Finding the Third Proportional to 331,857 and 498,109.50

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Solution

The third proportional to 331,857 and 498,109.50 is: 747,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,857 : 498,109.50 = 498,109.50 : x
  2. Step 2: Convert to fraction form
    331,857/498,109.50 = 498,109.50/x
  3. Step 3: Cross multiply
    331,857x = 498,109.50 × 498,109.50
  4. Step 4: Simplify right side
    331,857x = 248,113,073,990.25
  5. Step 5: Solve for x
    x = 248,113,073,990.25/331,857
  6. Step 6: Final answer
    x = 747,650.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.