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Finding the Third Proportional to 648,166.50 and 981,204.75

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Solution

The third proportional to 648,166.50 and 981,204.75 is: 1,485,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,166.50 : 981,204.75 = 981,204.75 : x
  2. Step 2: Convert to fraction form
    648,166.50/981,204.75 = 981,204.75/x
  3. Step 3: Cross multiply
    648,166.50x = 981,204.75 × 981,204.75
  4. Step 4: Simplify right side
    648,166.50x = 962,762,761,422.56
  5. Step 5: Solve for x
    x = 962,762,761,422.56/648,166.50
  6. Step 6: Final answer
    x = 1,485,363.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.