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Finding the Third Proportional to 205,468 and 444,632

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Solution

The third proportional to 205,468 and 444,632 is: 962,182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,468 : 444,632 = 444,632 : x
  2. Step 2: Convert to fraction form
    205,468/444,632 = 444,632/x
  3. Step 3: Cross multiply
    205,468x = 444,632 × 444,632
  4. Step 4: Simplify right side
    205,468x = 197,697,615,424
  5. Step 5: Solve for x
    x = 197,697,615,424/205,468
  6. Step 6: Final answer
    x = 962,182.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.