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Finding the Third Proportional to 300,104 and 453,372

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Solution

The third proportional to 300,104 and 453,372 is: 684,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,104 : 453,372 = 453,372 : x
  2. Step 2: Convert to fraction form
    300,104/453,372 = 453,372/x
  3. Step 3: Cross multiply
    300,104x = 453,372 × 453,372
  4. Step 4: Simplify right side
    300,104x = 205,546,170,384
  5. Step 5: Solve for x
    x = 205,546,170,384/300,104
  6. Step 6: Final answer
    x = 684,916.46

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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.