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Finding the Third Proportional to 198,012 and 462,044

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Solution

The third proportional to 198,012 and 462,044 is: 1,078,140.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,012 : 462,044 = 462,044 : x
  2. Step 2: Convert to fraction form
    198,012/462,044 = 462,044/x
  3. Step 3: Cross multiply
    198,012x = 462,044 × 462,044
  4. Step 4: Simplify right side
    198,012x = 213,484,657,936
  5. Step 5: Solve for x
    x = 213,484,657,936/198,012
  6. Step 6: Final answer
    x = 1,078,140.00

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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.