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Finding the Third Proportional to 276,025.50 and 563,661

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Solution

The third proportional to 276,025.50 and 563,661 is: 1,151,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,025.50 : 563,661 = 563,661 : x
  2. Step 2: Convert to fraction form
    276,025.50/563,661 = 563,661/x
  3. Step 3: Cross multiply
    276,025.50x = 563,661 × 563,661
  4. Step 4: Simplify right side
    276,025.50x = 317,713,722,921
  5. Step 5: Solve for x
    x = 317,713,722,921/276,025.50
  6. Step 6: Final answer
    x = 1,151,030.33

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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.