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Finding the Third Proportional to 271,922 and 587,582

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Solution

The third proportional to 271,922 and 587,582 is: 1,269,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,922 : 587,582 = 587,582 : x
  2. Step 2: Convert to fraction form
    271,922/587,582 = 587,582/x
  3. Step 3: Cross multiply
    271,922x = 587,582 × 587,582
  4. Step 4: Simplify right side
    271,922x = 345,252,606,724
  5. Step 5: Solve for x
    x = 345,252,606,724/271,922
  6. Step 6: Final answer
    x = 1,269,675.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.