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Finding the Third Proportional to 339,375 and 702,238.50

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Solution

The third proportional to 339,375 and 702,238.50 is: 1,453,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,375 : 702,238.50 = 702,238.50 : x
  2. Step 2: Convert to fraction form
    339,375/702,238.50 = 702,238.50/x
  3. Step 3: Cross multiply
    339,375x = 702,238.50 × 702,238.50
  4. Step 4: Simplify right side
    339,375x = 493,138,910,882.25
  5. Step 5: Solve for x
    x = 493,138,910,882.25/339,375
  6. Step 6: Final answer
    x = 1,453,079.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.