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Finding the Third Proportional to 225,739 and 532,857

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Solution

The third proportional to 225,739 and 532,857 is: 1,257,809.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,739 : 532,857 = 532,857 : x
  2. Step 2: Convert to fraction form
    225,739/532,857 = 532,857/x
  3. Step 3: Cross multiply
    225,739x = 532,857 × 532,857
  4. Step 4: Simplify right side
    225,739x = 283,936,582,449
  5. Step 5: Solve for x
    x = 283,936,582,449/225,739
  6. Step 6: Final answer
    x = 1,257,809.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.