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Finding the Third Proportional to 276,601.50 and 563,355

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Solution

The third proportional to 276,601.50 and 563,355 is: 1,147,386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,601.50 : 563,355 = 563,355 : x
  2. Step 2: Convert to fraction form
    276,601.50/563,355 = 563,355/x
  3. Step 3: Cross multiply
    276,601.50x = 563,355 × 563,355
  4. Step 4: Simplify right side
    276,601.50x = 317,368,856,025
  5. Step 5: Solve for x
    x = 317,368,856,025/276,601.50
  6. Step 6: Final answer
    x = 1,147,386.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.