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Finding the Third Proportional to 271,912 and 587,492

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Solution

The third proportional to 271,912 and 587,492 is: 1,269,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,912 : 587,492 = 587,492 : x
  2. Step 2: Convert to fraction form
    271,912/587,492 = 587,492/x
  3. Step 3: Cross multiply
    271,912x = 587,492 × 587,492
  4. Step 4: Simplify right side
    271,912x = 345,146,850,064
  5. Step 5: Solve for x
    x = 345,146,850,064/271,912
  6. Step 6: Final answer
    x = 1,269,332.91

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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.