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Finding the Third Proportional to 419,922 and 633,357

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Solution

The third proportional to 419,922 and 633,357 is: 955,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,922 : 633,357 = 633,357 : x
  2. Step 2: Convert to fraction form
    419,922/633,357 = 633,357/x
  3. Step 3: Cross multiply
    419,922x = 633,357 × 633,357
  4. Step 4: Simplify right side
    419,922x = 401,141,089,449
  5. Step 5: Solve for x
    x = 401,141,089,449/419,922
  6. Step 6: Final answer
    x = 955,275.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.