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Finding the Third Proportional to 271,774 and 576,433

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Solution

The third proportional to 271,774 and 576,433 is: 1,222,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,774 : 576,433 = 576,433 : x
  2. Step 2: Convert to fraction form
    271,774/576,433 = 576,433/x
  3. Step 3: Cross multiply
    271,774x = 576,433 × 576,433
  4. Step 4: Simplify right side
    271,774x = 332,275,003,489
  5. Step 5: Solve for x
    x = 332,275,003,489/271,774
  6. Step 6: Final answer
    x = 1,222,615.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.