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Finding the Third Proportional to 198,624 and 453,788

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Solution

The third proportional to 198,624 and 453,788 is: 1,036,750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,624 : 453,788 = 453,788 : x
  2. Step 2: Convert to fraction form
    198,624/453,788 = 453,788/x
  3. Step 3: Cross multiply
    198,624x = 453,788 × 453,788
  4. Step 4: Simplify right side
    198,624x = 205,923,548,944
  5. Step 5: Solve for x
    x = 205,923,548,944/198,624
  6. Step 6: Final answer
    x = 1,036,750.59

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.