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Finding the Third Proportional to 403,666.03 and 548,453.53

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Solution

The third proportional to 403,666.03 and 548,453.53 is: 745,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,666.03 : 548,453.53 = 548,453.53 : x
  2. Step 2: Convert to fraction form
    403,666.03/548,453.53 = 548,453.53/x
  3. Step 3: Cross multiply
    403,666.03x = 548,453.53 × 548,453.53
  4. Step 4: Simplify right side
    403,666.03x = 300,801,275,940.60
  5. Step 5: Solve for x
    x = 300,801,275,940.60/403,666.03
  6. Step 6: Final answer
    x = 745,173.62

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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.