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Finding the Third Proportional to 422,477.75 and 911,314.75

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Solution

The third proportional to 422,477.75 and 911,314.75 is: 1,965,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,477.75 : 911,314.75 = 911,314.75 : x
  2. Step 2: Convert to fraction form
    422,477.75/911,314.75 = 911,314.75/x
  3. Step 3: Cross multiply
    422,477.75x = 911,314.75 × 911,314.75
  4. Step 4: Simplify right side
    422,477.75x = 830,494,573,567.56
  5. Step 5: Solve for x
    x = 830,494,573,567.56/422,477.75
  6. Step 6: Final answer
    x = 1,965,771.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.