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Finding the Third Proportional to 493,110.28 and 668,223.42

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Solution

The third proportional to 493,110.28 and 668,223.42 is: 905,522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,110.28 : 668,223.42 = 668,223.42 : x
  2. Step 2: Convert to fraction form
    493,110.28/668,223.42 = 668,223.42/x
  3. Step 3: Cross multiply
    493,110.28x = 668,223.42 × 668,223.42
  4. Step 4: Simplify right side
    493,110.28x = 446,522,541,542.33
  5. Step 5: Solve for x
    x = 446,522,541,542.33/493,110.28
  6. Step 6: Final answer
    x = 905,522.68

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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.