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Finding the Third Proportional to 205,810 and 450,972

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Solution

The third proportional to 205,810 and 450,972 is: 988,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,810 : 450,972 = 450,972 : x
  2. Step 2: Convert to fraction form
    205,810/450,972 = 450,972/x
  3. Step 3: Cross multiply
    205,810x = 450,972 × 450,972
  4. Step 4: Simplify right side
    205,810x = 203,375,744,784
  5. Step 5: Solve for x
    x = 203,375,744,784/205,810
  6. Step 6: Final answer
    x = 988,172.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.