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Finding the Third Proportional to 270,462 and 577,110

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Solution

The third proportional to 270,462 and 577,110 is: 1,231,433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,462 : 577,110 = 577,110 : x
  2. Step 2: Convert to fraction form
    270,462/577,110 = 577,110/x
  3. Step 3: Cross multiply
    270,462x = 577,110 × 577,110
  4. Step 4: Simplify right side
    270,462x = 333,055,952,100
  5. Step 5: Solve for x
    x = 333,055,952,100/270,462
  6. Step 6: Final answer
    x = 1,231,433.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.