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Finding the Third Proportional to 250,437 and 556,857

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Solution

The third proportional to 250,437 and 556,857 is: 1,238,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,437 : 556,857 = 556,857 : x
  2. Step 2: Convert to fraction form
    250,437/556,857 = 556,857/x
  3. Step 3: Cross multiply
    250,437x = 556,857 × 556,857
  4. Step 4: Simplify right side
    250,437x = 310,089,718,449
  5. Step 5: Solve for x
    x = 310,089,718,449/250,437
  6. Step 6: Final answer
    x = 1,238,194.51

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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.