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Finding the Third Proportional to 263,465.16 and 416,777.27

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Solution

The third proportional to 263,465.16 and 416,777.27 is: 659,302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,465.16 : 416,777.27 = 416,777.27 : x
  2. Step 2: Convert to fraction form
    263,465.16/416,777.27 = 416,777.27/x
  3. Step 3: Cross multiply
    263,465.16x = 416,777.27 × 416,777.27
  4. Step 4: Simplify right side
    263,465.16x = 173,703,295,654.00
  5. Step 5: Solve for x
    x = 173,703,295,654.00/263,465.16
  6. Step 6: Final answer
    x = 659,302.73

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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.