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Finding the Third Proportional to 513,519 and 681,543

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Solution

The third proportional to 513,519 and 681,543 is: 904,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,519 : 681,543 = 681,543 : x
  2. Step 2: Convert to fraction form
    513,519/681,543 = 681,543/x
  3. Step 3: Cross multiply
    513,519x = 681,543 × 681,543
  4. Step 4: Simplify right side
    513,519x = 464,500,860,849
  5. Step 5: Solve for x
    x = 464,500,860,849/513,519
  6. Step 6: Final answer
    x = 904,544.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.