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Finding the Third Proportional to 525,214 and 764,857

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Solution

The third proportional to 525,214 and 764,857 is: 1,113,843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,214 : 764,857 = 764,857 : x
  2. Step 2: Convert to fraction form
    525,214/764,857 = 764,857/x
  3. Step 3: Cross multiply
    525,214x = 764,857 × 764,857
  4. Step 4: Simplify right side
    525,214x = 585,006,230,449
  5. Step 5: Solve for x
    x = 585,006,230,449/525,214
  6. Step 6: Final answer
    x = 1,113,843.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.