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Finding the Third Proportional to 296,295.75 and 699,163.50

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Solution

The third proportional to 296,295.75 and 699,163.50 is: 1,649,802.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,295.75 : 699,163.50 = 699,163.50 : x
  2. Step 2: Convert to fraction form
    296,295.75/699,163.50 = 699,163.50/x
  3. Step 3: Cross multiply
    296,295.75x = 699,163.50 × 699,163.50
  4. Step 4: Simplify right side
    296,295.75x = 488,829,599,732.25
  5. Step 5: Solve for x
    x = 488,829,599,732.25/296,295.75
  6. Step 6: Final answer
    x = 1,649,802.94

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.