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Finding the Third Proportional to 331,885.50 and 498,153

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Solution

The third proportional to 331,885.50 and 498,153 is: 747,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,885.50 : 498,153 = 498,153 : x
  2. Step 2: Convert to fraction form
    331,885.50/498,153 = 498,153/x
  3. Step 3: Cross multiply
    331,885.50x = 498,153 × 498,153
  4. Step 4: Simplify right side
    331,885.50x = 248,156,411,409
  5. Step 5: Solve for x
    x = 248,156,411,409/331,885.50
  6. Step 6: Final answer
    x = 747,716.94

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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.