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Finding the Third Proportional to 339,840 and 475,320

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Solution

The third proportional to 339,840 and 475,320 is: 664,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,840 : 475,320 = 475,320 : x
  2. Step 2: Convert to fraction form
    339,840/475,320 = 475,320/x
  3. Step 3: Cross multiply
    339,840x = 475,320 × 475,320
  4. Step 4: Simplify right side
    339,840x = 225,929,102,400
  5. Step 5: Solve for x
    x = 225,929,102,400/339,840
  6. Step 6: Final answer
    x = 664,810.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.