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Finding the Third Proportional to 411,301.13 and 443,488.50

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Solution

The third proportional to 411,301.13 and 443,488.50 is: 478,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,301.13 : 443,488.50 = 443,488.50 : x
  2. Step 2: Convert to fraction form
    411,301.13/443,488.50 = 443,488.50/x
  3. Step 3: Cross multiply
    411,301.13x = 443,488.50 × 443,488.50
  4. Step 4: Simplify right side
    411,301.13x = 196,682,049,632.25
  5. Step 5: Solve for x
    x = 196,682,049,632.25/411,301.13
  6. Step 6: Final answer
    x = 478,194.78

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.