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Finding the Third Proportional to 241,854.75 and 477,756

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Solution

The third proportional to 241,854.75 and 477,756 is: 943,751.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,854.75 : 477,756 = 477,756 : x
  2. Step 2: Convert to fraction form
    241,854.75/477,756 = 477,756/x
  3. Step 3: Cross multiply
    241,854.75x = 477,756 × 477,756
  4. Step 4: Simplify right side
    241,854.75x = 228,250,795,536
  5. Step 5: Solve for x
    x = 228,250,795,536/241,854.75
  6. Step 6: Final answer
    x = 943,751.55

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These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.