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Finding the Third Proportional to 401,796 and 622,539

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Solution

The third proportional to 401,796 and 622,539 is: 964,556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,796 : 622,539 = 622,539 : x
  2. Step 2: Convert to fraction form
    401,796/622,539 = 622,539/x
  3. Step 3: Cross multiply
    401,796x = 622,539 × 622,539
  4. Step 4: Simplify right side
    401,796x = 387,554,806,521
  5. Step 5: Solve for x
    x = 387,554,806,521/401,796
  6. Step 6: Final answer
    x = 964,556.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.