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Finding the Third Proportional to 236,299.75 and 518,526.75

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Solution

The third proportional to 236,299.75 and 518,526.75 is: 1,137,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,299.75 : 518,526.75 = 518,526.75 : x
  2. Step 2: Convert to fraction form
    236,299.75/518,526.75 = 518,526.75/x
  3. Step 3: Cross multiply
    236,299.75x = 518,526.75 × 518,526.75
  4. Step 4: Simplify right side
    236,299.75x = 268,869,990,465.56
  5. Step 5: Solve for x
    x = 268,869,990,465.56/236,299.75
  6. Step 6: Final answer
    x = 1,137,834.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.