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Finding the Third Proportional to 273,032 and 427,372.50

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Solution

The third proportional to 273,032 and 427,372.50 is: 668,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,032 : 427,372.50 = 427,372.50 : x
  2. Step 2: Convert to fraction form
    273,032/427,372.50 = 427,372.50/x
  3. Step 3: Cross multiply
    273,032x = 427,372.50 × 427,372.50
  4. Step 4: Simplify right side
    273,032x = 182,647,253,756.25
  5. Step 5: Solve for x
    x = 182,647,253,756.25/273,032
  6. Step 6: Final answer
    x = 668,959.15

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.