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Finding the Third Proportional to 441,295.50 and 681,896.25

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Solution

The third proportional to 441,295.50 and 681,896.25 is: 1,053,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,295.50 : 681,896.25 = 681,896.25 : x
  2. Step 2: Convert to fraction form
    441,295.50/681,896.25 = 681,896.25/x
  3. Step 3: Cross multiply
    441,295.50x = 681,896.25 × 681,896.25
  4. Step 4: Simplify right side
    441,295.50x = 464,982,495,764.06
  5. Step 5: Solve for x
    x = 464,982,495,764.06/441,295.50
  6. Step 6: Final answer
    x = 1,053,676.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.