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Finding the Third Proportional to 271,776 and 576,438

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Solution

The third proportional to 271,776 and 576,438 is: 1,222,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,776 : 576,438 = 576,438 : x
  2. Step 2: Convert to fraction form
    271,776/576,438 = 576,438/x
  3. Step 3: Cross multiply
    271,776x = 576,438 × 576,438
  4. Step 4: Simplify right side
    271,776x = 332,280,767,844
  5. Step 5: Solve for x
    x = 332,280,767,844/271,776
  6. Step 6: Final answer
    x = 1,222,627.34

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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.