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Finding the Third Proportional to 271,568 and 591,328

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Solution

The third proportional to 271,568 and 591,328 is: 1,287,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,568 : 591,328 = 591,328 : x
  2. Step 2: Convert to fraction form
    271,568/591,328 = 591,328/x
  3. Step 3: Cross multiply
    271,568x = 591,328 × 591,328
  4. Step 4: Simplify right side
    271,568x = 349,668,803,584
  5. Step 5: Solve for x
    x = 349,668,803,584/271,568
  6. Step 6: Final answer
    x = 1,287,592.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.