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Finding the Third Proportional to 342,156 and 751,380

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Solution

The third proportional to 342,156 and 751,380 is: 1,650,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,156 : 751,380 = 751,380 : x
  2. Step 2: Convert to fraction form
    342,156/751,380 = 751,380/x
  3. Step 3: Cross multiply
    342,156x = 751,380 × 751,380
  4. Step 4: Simplify right side
    342,156x = 564,571,904,400
  5. Step 5: Solve for x
    x = 564,571,904,400/342,156
  6. Step 6: Final answer
    x = 1,650,042.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.