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Finding the Third Proportional to 638,302.50 and 1,377,474.75

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Solution

The third proportional to 638,302.50 and 1,377,474.75 is: 2,972,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,302.50 : 1,377,474.75 = 1,377,474.75 : x
  2. Step 2: Convert to fraction form
    638,302.50/1,377,474.75 = 1,377,474.75/x
  3. Step 3: Cross multiply
    638,302.50x = 1,377,474.75 × 1,377,474.75
  4. Step 4: Simplify right side
    638,302.50x = 1,897,436,686,887.56
  5. Step 5: Solve for x
    x = 1,897,436,686,887.56/638,302.50
  6. Step 6: Final answer
    x = 2,972,629.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.