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Finding the Third Proportional to 250,422 and 556,836

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Solution

The third proportional to 250,422 and 556,836 is: 1,238,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,422 : 556,836 = 556,836 : x
  2. Step 2: Convert to fraction form
    250,422/556,836 = 556,836/x
  3. Step 3: Cross multiply
    250,422x = 556,836 × 556,836
  4. Step 4: Simplify right side
    250,422x = 310,066,330,896
  5. Step 5: Solve for x
    x = 310,066,330,896/250,422
  6. Step 6: Final answer
    x = 1,238,175.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.