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Finding the Third Proportional to 339,151.43 and 539,861.84

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Solution

The third proportional to 339,151.43 and 539,861.84 is: 859,353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,151.43 : 539,861.84 = 539,861.84 : x
  2. Step 2: Convert to fraction form
    339,151.43/539,861.84 = 539,861.84/x
  3. Step 3: Cross multiply
    339,151.43x = 539,861.84 × 539,861.84
  4. Step 4: Simplify right side
    339,151.43x = 291,450,801,901.81
  5. Step 5: Solve for x
    x = 291,450,801,901.81/339,151.43
  6. Step 6: Final answer
    x = 859,353.01

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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.