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Finding the Third Proportional to 344,366 and 755,188

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Solution

The third proportional to 344,366 and 755,188 is: 1,656,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,366 : 755,188 = 755,188 : x
  2. Step 2: Convert to fraction form
    344,366/755,188 = 755,188/x
  3. Step 3: Cross multiply
    344,366x = 755,188 × 755,188
  4. Step 4: Simplify right side
    344,366x = 570,308,915,344
  5. Step 5: Solve for x
    x = 570,308,915,344/344,366
  6. Step 6: Final answer
    x = 1,656,112.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.