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Finding the Third Proportional to 204,810 and 425,973

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Solution

The third proportional to 204,810 and 425,973 is: 885,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,810 : 425,973 = 425,973 : x
  2. Step 2: Convert to fraction form
    204,810/425,973 = 425,973/x
  3. Step 3: Cross multiply
    204,810x = 425,973 × 425,973
  4. Step 4: Simplify right side
    204,810x = 181,452,996,729
  5. Step 5: Solve for x
    x = 181,452,996,729/204,810
  6. Step 6: Final answer
    x = 885,957.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.