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Finding the Third Proportional to 449,187.75 and 493,474.50

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Solution

The third proportional to 449,187.75 and 493,474.50 is: 542,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,187.75 : 493,474.50 = 493,474.50 : x
  2. Step 2: Convert to fraction form
    449,187.75/493,474.50 = 493,474.50/x
  3. Step 3: Cross multiply
    449,187.75x = 493,474.50 × 493,474.50
  4. Step 4: Simplify right side
    449,187.75x = 243,517,082,150.25
  5. Step 5: Solve for x
    x = 243,517,082,150.25/449,187.75
  6. Step 6: Final answer
    x = 542,127.61

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.