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Finding the Third Proportional to 263,596.13 and 408,516.38

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Solution

The third proportional to 263,596.13 and 408,516.38 is: 633,111.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,596.13 : 408,516.38 = 408,516.38 : x
  2. Step 2: Convert to fraction form
    263,596.13/408,516.38 = 408,516.38/x
  3. Step 3: Cross multiply
    263,596.13x = 408,516.38 × 408,516.38
  4. Step 4: Simplify right side
    263,596.13x = 166,885,628,643.14
  5. Step 5: Solve for x
    x = 166,885,628,643.14/263,596.13
  6. Step 6: Final answer
    x = 633,111.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.