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Finding the Third Proportional to 271,392 and 587,960

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Solution

The third proportional to 271,392 and 587,960 is: 1,273,792.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,392 : 587,960 = 587,960 : x
  2. Step 2: Convert to fraction form
    271,392/587,960 = 587,960/x
  3. Step 3: Cross multiply
    271,392x = 587,960 × 587,960
  4. Step 4: Simplify right side
    271,392x = 345,696,961,600
  5. Step 5: Solve for x
    x = 345,696,961,600/271,392
  6. Step 6: Final answer
    x = 1,273,792.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.