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Finding the Third Proportional to 274,153.50 and 634,626

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Solution

The third proportional to 274,153.50 and 634,626 is: 1,469,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,153.50 : 634,626 = 634,626 : x
  2. Step 2: Convert to fraction form
    274,153.50/634,626 = 634,626/x
  3. Step 3: Cross multiply
    274,153.50x = 634,626 × 634,626
  4. Step 4: Simplify right side
    274,153.50x = 402,750,159,876
  5. Step 5: Solve for x
    x = 402,750,159,876/274,153.50
  6. Step 6: Final answer
    x = 1,469,068.09

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.