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Finding the Third Proportional to 476,850.38 and 668,403.56

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Solution

The third proportional to 476,850.38 and 668,403.56 is: 936,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,850.38 : 668,403.56 = 668,403.56 : x
  2. Step 2: Convert to fraction form
    476,850.38/668,403.56 = 668,403.56/x
  3. Step 3: Cross multiply
    476,850.38x = 668,403.56 × 668,403.56
  4. Step 4: Simplify right side
    476,850.38x = 446,763,322,362.69
  5. Step 5: Solve for x
    x = 446,763,322,362.69/476,850.38
  6. Step 6: Final answer
    x = 936,904.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.