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Finding the Third Proportional to 263,330 and 566,622

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Solution

The third proportional to 263,330 and 566,622 is: 1,219,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,330 : 566,622 = 566,622 : x
  2. Step 2: Convert to fraction form
    263,330/566,622 = 566,622/x
  3. Step 3: Cross multiply
    263,330x = 566,622 × 566,622
  4. Step 4: Simplify right side
    263,330x = 321,060,490,884
  5. Step 5: Solve for x
    x = 321,060,490,884/263,330
  6. Step 6: Final answer
    x = 1,219,232.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.