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Finding the Third Proportional to 233,861 and 504,622

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Solution

The third proportional to 233,861 and 504,622 is: 1,088,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,861 : 504,622 = 504,622 : x
  2. Step 2: Convert to fraction form
    233,861/504,622 = 504,622/x
  3. Step 3: Cross multiply
    233,861x = 504,622 × 504,622
  4. Step 4: Simplify right side
    233,861x = 254,643,362,884
  5. Step 5: Solve for x
    x = 254,643,362,884/233,861
  6. Step 6: Final answer
    x = 1,088,866.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.