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Finding the Third Proportional to 444,206 and 633,081

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Solution

The third proportional to 444,206 and 633,081 is: 902,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,206 : 633,081 = 633,081 : x
  2. Step 2: Convert to fraction form
    444,206/633,081 = 633,081/x
  3. Step 3: Cross multiply
    444,206x = 633,081 × 633,081
  4. Step 4: Simplify right side
    444,206x = 400,791,552,561
  5. Step 5: Solve for x
    x = 400,791,552,561/444,206
  6. Step 6: Final answer
    x = 902,265.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.