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Finding the Third Proportional to 233,758.41 and 504,422.44

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Solution

The third proportional to 233,758.41 and 504,422.44 is: 1,088,482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,758.41 : 504,422.44 = 504,422.44 : x
  2. Step 2: Convert to fraction form
    233,758.41/504,422.44 = 504,422.44/x
  3. Step 3: Cross multiply
    233,758.41x = 504,422.44 × 504,422.44
  4. Step 4: Simplify right side
    233,758.41x = 254,441,995,453.44
  5. Step 5: Solve for x
    x = 254,441,995,453.44/233,758.41
  6. Step 6: Final answer
    x = 1,088,482.76

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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.