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Finding the Third Proportional to 648,225 and 981,280.50

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Solution

The third proportional to 648,225 and 981,280.50 is: 1,485,458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,225 : 981,280.50 = 981,280.50 : x
  2. Step 2: Convert to fraction form
    648,225/981,280.50 = 981,280.50/x
  3. Step 3: Cross multiply
    648,225x = 981,280.50 × 981,280.50
  4. Step 4: Simplify right side
    648,225x = 962,911,419,680.25
  5. Step 5: Solve for x
    x = 962,911,419,680.25/648,225
  6. Step 6: Final answer
    x = 1,485,458.63

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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.