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Finding the Third Proportional to 263,396.81 and 566,782.31

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Solution

The third proportional to 263,396.81 and 566,782.31 is: 1,219,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,396.81 : 566,782.31 = 566,782.31 : x
  2. Step 2: Convert to fraction form
    263,396.81/566,782.31 = 566,782.31/x
  3. Step 3: Cross multiply
    263,396.81x = 566,782.31 × 566,782.31
  4. Step 4: Simplify right side
    263,396.81x = 321,242,189,762.85
  5. Step 5: Solve for x
    x = 321,242,189,762.85/263,396.81
  6. Step 6: Final answer
    x = 1,219,613.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.