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Finding the Third Proportional to 270,427 and 577,049

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Solution

The third proportional to 270,427 and 577,049 is: 1,231,332.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,427 : 577,049 = 577,049 : x
  2. Step 2: Convert to fraction form
    270,427/577,049 = 577,049/x
  3. Step 3: Cross multiply
    270,427x = 577,049 × 577,049
  4. Step 4: Simplify right side
    270,427x = 332,985,548,401
  5. Step 5: Solve for x
    x = 332,985,548,401/270,427
  6. Step 6: Final answer
    x = 1,231,332.48

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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.