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Finding the Third Proportional to 493,114.50 and 668,229.75

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Solution

The third proportional to 493,114.50 and 668,229.75 is: 905,532.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,114.50 : 668,229.75 = 668,229.75 : x
  2. Step 2: Convert to fraction form
    493,114.50/668,229.75 = 668,229.75/x
  3. Step 3: Cross multiply
    493,114.50x = 668,229.75 × 668,229.75
  4. Step 4: Simplify right side
    493,114.50x = 446,530,998,785.06
  5. Step 5: Solve for x
    x = 446,530,998,785.06/493,114.50
  6. Step 6: Final answer
    x = 905,532.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.