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Finding the Third Proportional to 323,013 and 452,640

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Solution

The third proportional to 323,013 and 452,640 is: 634,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,013 : 452,640 = 452,640 : x
  2. Step 2: Convert to fraction form
    323,013/452,640 = 452,640/x
  3. Step 3: Cross multiply
    323,013x = 452,640 × 452,640
  4. Step 4: Simplify right side
    323,013x = 204,882,969,600
  5. Step 5: Solve for x
    x = 204,882,969,600/323,013
  6. Step 6: Final answer
    x = 634,287.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.