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Finding the Third Proportional to 339,150.38 and 539,859.94

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Solution

The third proportional to 339,150.38 and 539,859.94 is: 859,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,150.38 : 539,859.94 = 539,859.94 : x
  2. Step 2: Convert to fraction form
    339,150.38/539,859.94 = 539,859.94/x
  3. Step 3: Cross multiply
    339,150.38x = 539,859.94 × 539,859.94
  4. Step 4: Simplify right side
    339,150.38x = 291,448,752,117.50
  5. Step 5: Solve for x
    x = 291,448,752,117.50/339,150.38
  6. Step 6: Final answer
    x = 859,349.64

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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.