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Finding the Third Proportional to 337,615 and 534,611

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Solution

The third proportional to 337,615 and 534,611 is: 846,552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,615 : 534,611 = 534,611 : x
  2. Step 2: Convert to fraction form
    337,615/534,611 = 534,611/x
  3. Step 3: Cross multiply
    337,615x = 534,611 × 534,611
  4. Step 4: Simplify right side
    337,615x = 285,808,921,321
  5. Step 5: Solve for x
    x = 285,808,921,321/337,615
  6. Step 6: Final answer
    x = 846,552.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.