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Finding the Third Proportional to 198,629 and 453,800.50

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Solution

The third proportional to 198,629 and 453,800.50 is: 1,036,781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,629 : 453,800.50 = 453,800.50 : x
  2. Step 2: Convert to fraction form
    198,629/453,800.50 = 453,800.50/x
  3. Step 3: Cross multiply
    198,629x = 453,800.50 × 453,800.50
  4. Step 4: Simplify right side
    198,629x = 205,934,893,800.25
  5. Step 5: Solve for x
    x = 205,934,893,800.25/198,629
  6. Step 6: Final answer
    x = 1,036,781.61

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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.