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Finding the Third Proportional to 263,136.09 and 577,656.56

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Solution

The third proportional to 263,136.09 and 577,656.56 is: 1,268,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,136.09 : 577,656.56 = 577,656.56 : x
  2. Step 2: Convert to fraction form
    263,136.09/577,656.56 = 577,656.56/x
  3. Step 3: Cross multiply
    263,136.09x = 577,656.56 × 577,656.56
  4. Step 4: Simplify right side
    263,136.09x = 333,687,104,199.32
  5. Step 5: Solve for x
    x = 333,687,104,199.32/263,136.09
  6. Step 6: Final answer
    x = 1,268,116.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.