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Finding the Third Proportional to 339,808.50 and 539,847

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Solution

The third proportional to 339,808.50 and 539,847 is: 857,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,808.50 : 539,847 = 539,847 : x
  2. Step 2: Convert to fraction form
    339,808.50/539,847 = 539,847/x
  3. Step 3: Cross multiply
    339,808.50x = 539,847 × 539,847
  4. Step 4: Simplify right side
    339,808.50x = 291,434,783,409
  5. Step 5: Solve for x
    x = 291,434,783,409/339,808.50
  6. Step 6: Final answer
    x = 857,644.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.