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Finding the Third Proportional to 698,339.50 and 1,115,766

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Solution

The third proportional to 698,339.50 and 1,115,766 is: 1,782,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,339.50 : 1,115,766 = 1,115,766 : x
  2. Step 2: Convert to fraction form
    698,339.50/1,115,766 = 1,115,766/x
  3. Step 3: Cross multiply
    698,339.50x = 1,115,766 × 1,115,766
  4. Step 4: Simplify right side
    698,339.50x = 1,244,933,766,756
  5. Step 5: Solve for x
    x = 1,244,933,766,756/698,339.50
  6. Step 6: Final answer
    x = 1,782,705.64

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.