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Finding the Third Proportional to 403,787 and 548,615

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Solution

The third proportional to 403,787 and 548,615 is: 745,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,787 : 548,615 = 548,615 : x
  2. Step 2: Convert to fraction form
    403,787/548,615 = 548,615/x
  3. Step 3: Cross multiply
    403,787x = 548,615 × 548,615
  4. Step 4: Simplify right side
    403,787x = 300,978,418,225
  5. Step 5: Solve for x
    x = 300,978,418,225/403,787
  6. Step 6: Final answer
    x = 745,389.07

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.