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Finding the Third Proportional to 299,470.50 and 452,324.81

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Solution

The third proportional to 299,470.50 and 452,324.81 is: 683,198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,470.50 : 452,324.81 = 452,324.81 : x
  2. Step 2: Convert to fraction form
    299,470.50/452,324.81 = 452,324.81/x
  3. Step 3: Cross multiply
    299,470.50x = 452,324.81 × 452,324.81
  4. Step 4: Simplify right side
    299,470.50x = 204,597,736,003.16
  5. Step 5: Solve for x
    x = 204,597,736,003.16/299,470.50
  6. Step 6: Final answer
    x = 683,198.30

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Why These Related Problems?

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