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Finding the Third Proportional to 263,487.94 and 585,933.75

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Solution

The third proportional to 263,487.94 and 585,933.75 is: 1,302,975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,487.94 : 585,933.75 = 585,933.75 : x
  2. Step 2: Convert to fraction form
    263,487.94/585,933.75 = 585,933.75/x
  3. Step 3: Cross multiply
    263,487.94x = 585,933.75 × 585,933.75
  4. Step 4: Simplify right side
    263,487.94x = 343,318,359,389.06
  5. Step 5: Solve for x
    x = 343,318,359,389.06/263,487.94
  6. Step 6: Final answer
    x = 1,302,975.62

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.