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Finding the Third Proportional to 409,237.88 and 892,813.50

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Solution

The third proportional to 409,237.88 and 892,813.50 is: 1,947,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,237.88 : 892,813.50 = 892,813.50 : x
  2. Step 2: Convert to fraction form
    409,237.88/892,813.50 = 892,813.50/x
  3. Step 3: Cross multiply
    409,237.88x = 892,813.50 × 892,813.50
  4. Step 4: Simplify right side
    409,237.88x = 797,115,945,782.25
  5. Step 5: Solve for x
    x = 797,115,945,782.25/409,237.88
  6. Step 6: Final answer
    x = 1,947,805.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.