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Finding the Third Proportional to 270,394 and 576,981

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Solution

The third proportional to 270,394 and 576,981 is: 1,231,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,394 : 576,981 = 576,981 : x
  2. Step 2: Convert to fraction form
    270,394/576,981 = 576,981/x
  3. Step 3: Cross multiply
    270,394x = 576,981 × 576,981
  4. Step 4: Simplify right side
    270,394x = 332,907,074,361
  5. Step 5: Solve for x
    x = 332,907,074,361/270,394
  6. Step 6: Final answer
    x = 1,231,192.54

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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.