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Finding the Third Proportional to 205,320 and 445,712

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Solution

The third proportional to 205,320 and 445,712 is: 967,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,320 : 445,712 = 445,712 : x
  2. Step 2: Convert to fraction form
    205,320/445,712 = 445,712/x
  3. Step 3: Cross multiply
    205,320x = 445,712 × 445,712
  4. Step 4: Simplify right side
    205,320x = 198,659,186,944
  5. Step 5: Solve for x
    x = 198,659,186,944/205,320
  6. Step 6: Final answer
    x = 967,558.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.