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Finding the Third Proportional to 276,538.50 and 585,477

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Solution

The third proportional to 276,538.50 and 585,477 is: 1,239,550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,538.50 : 585,477 = 585,477 : x
  2. Step 2: Convert to fraction form
    276,538.50/585,477 = 585,477/x
  3. Step 3: Cross multiply
    276,538.50x = 585,477 × 585,477
  4. Step 4: Simplify right side
    276,538.50x = 342,783,317,529
  5. Step 5: Solve for x
    x = 342,783,317,529/276,538.50
  6. Step 6: Final answer
    x = 1,239,550.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.