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Finding the Third Proportional to 205,621 and 475,982

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Solution

The third proportional to 205,621 and 475,982 is: 1,101,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,621 : 475,982 = 475,982 : x
  2. Step 2: Convert to fraction form
    205,621/475,982 = 475,982/x
  3. Step 3: Cross multiply
    205,621x = 475,982 × 475,982
  4. Step 4: Simplify right side
    205,621x = 226,558,864,324
  5. Step 5: Solve for x
    x = 226,558,864,324/205,621
  6. Step 6: Final answer
    x = 1,101,827.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.