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Finding the Third Proportional to 483,717 and 762,682.50

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Solution

The third proportional to 483,717 and 762,682.50 is: 1,202,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,717 : 762,682.50 = 762,682.50 : x
  2. Step 2: Convert to fraction form
    483,717/762,682.50 = 762,682.50/x
  3. Step 3: Cross multiply
    483,717x = 762,682.50 × 762,682.50
  4. Step 4: Simplify right side
    483,717x = 581,684,595,806.25
  5. Step 5: Solve for x
    x = 581,684,595,806.25/483,717
  6. Step 6: Final answer
    x = 1,202,530.81

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.