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Finding the Third Proportional to 344,673 and 757,377

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Solution

The third proportional to 344,673 and 757,377 is: 1,664,243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,673 : 757,377 = 757,377 : x
  2. Step 2: Convert to fraction form
    344,673/757,377 = 757,377/x
  3. Step 3: Cross multiply
    344,673x = 757,377 × 757,377
  4. Step 4: Simplify right side
    344,673x = 573,619,920,129
  5. Step 5: Solve for x
    x = 573,619,920,129/344,673
  6. Step 6: Final answer
    x = 1,664,243.85

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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.