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Finding the Third Proportional to 271,515 and 596,559

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Solution

The third proportional to 271,515 and 596,559 is: 1,310,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,515 : 596,559 = 596,559 : x
  2. Step 2: Convert to fraction form
    271,515/596,559 = 596,559/x
  3. Step 3: Cross multiply
    271,515x = 596,559 × 596,559
  4. Step 4: Simplify right side
    271,515x = 355,882,640,481
  5. Step 5: Solve for x
    x = 355,882,640,481/271,515
  6. Step 6: Final answer
    x = 1,310,729.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.