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Finding the Third Proportional to 198,010 and 462,039

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Solution

The third proportional to 198,010 and 462,039 is: 1,078,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,010 : 462,039 = 462,039 : x
  2. Step 2: Convert to fraction form
    198,010/462,039 = 462,039/x
  3. Step 3: Cross multiply
    198,010x = 462,039 × 462,039
  4. Step 4: Simplify right side
    198,010x = 213,480,037,521
  5. Step 5: Solve for x
    x = 213,480,037,521/198,010
  6. Step 6: Final answer
    x = 1,078,127.56

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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.