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Finding the Third Proportional to 333,615 and 516,379

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Solution

The third proportional to 333,615 and 516,379 is: 799,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,615 : 516,379 = 516,379 : x
  2. Step 2: Convert to fraction form
    333,615/516,379 = 516,379/x
  3. Step 3: Cross multiply
    333,615x = 516,379 × 516,379
  4. Step 4: Simplify right side
    333,615x = 266,647,271,641
  5. Step 5: Solve for x
    x = 266,647,271,641/333,615
  6. Step 6: Final answer
    x = 799,266.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.