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Finding the Third Proportional to 198,008 and 462,034

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Solution

The third proportional to 198,008 and 462,034 is: 1,078,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,008 : 462,034 = 462,034 : x
  2. Step 2: Convert to fraction form
    198,008/462,034 = 462,034/x
  3. Step 3: Cross multiply
    198,008x = 462,034 × 462,034
  4. Step 4: Simplify right side
    198,008x = 213,475,417,156
  5. Step 5: Solve for x
    x = 213,475,417,156/198,008
  6. Step 6: Final answer
    x = 1,078,115.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.