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Finding the Third Proportional to 283,317.75 and 427,704.75

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Solution

The third proportional to 283,317.75 and 427,704.75 is: 645,675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,317.75 : 427,704.75 = 427,704.75 : x
  2. Step 2: Convert to fraction form
    283,317.75/427,704.75 = 427,704.75/x
  3. Step 3: Cross multiply
    283,317.75x = 427,704.75 × 427,704.75
  4. Step 4: Simplify right side
    283,317.75x = 182,931,353,172.56
  5. Step 5: Solve for x
    x = 182,931,353,172.56/283,317.75
  6. Step 6: Final answer
    x = 645,675.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.