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Finding the Third Proportional to 205,671 and 458,604

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Solution

The third proportional to 205,671 and 458,604 is: 1,022,592.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,671 : 458,604 = 458,604 : x
  2. Step 2: Convert to fraction form
    205,671/458,604 = 458,604/x
  3. Step 3: Cross multiply
    205,671x = 458,604 × 458,604
  4. Step 4: Simplify right side
    205,671x = 210,317,628,816
  5. Step 5: Solve for x
    x = 210,317,628,816/205,671
  6. Step 6: Final answer
    x = 1,022,592.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.