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Finding the Third Proportional to 198,617 and 453,774

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Solution

The third proportional to 198,617 and 453,774 is: 1,036,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,617 : 453,774 = 453,774 : x
  2. Step 2: Convert to fraction form
    198,617/453,774 = 453,774/x
  3. Step 3: Cross multiply
    198,617x = 453,774 × 453,774
  4. Step 4: Simplify right side
    198,617x = 205,910,843,076
  5. Step 5: Solve for x
    x = 205,910,843,076/198,617
  6. Step 6: Final answer
    x = 1,036,723.16

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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.