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Finding the Third Proportional to 273,742.50 and 585,315.75

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Solution

The third proportional to 273,742.50 and 585,315.75 is: 1,251,521.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,742.50 : 585,315.75 = 585,315.75 : x
  2. Step 2: Convert to fraction form
    273,742.50/585,315.75 = 585,315.75/x
  3. Step 3: Cross multiply
    273,742.50x = 585,315.75 × 585,315.75
  4. Step 4: Simplify right side
    273,742.50x = 342,594,527,198.06
  5. Step 5: Solve for x
    x = 342,594,527,198.06/273,742.50
  6. Step 6: Final answer
    x = 1,251,521.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.