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Finding the Third Proportional to 231,944.63 and 494,264.25

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Solution

The third proportional to 231,944.63 and 494,264.25 is: 1,053,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,944.63 : 494,264.25 = 494,264.25 : x
  2. Step 2: Convert to fraction form
    231,944.63/494,264.25 = 494,264.25/x
  3. Step 3: Cross multiply
    231,944.63x = 494,264.25 × 494,264.25
  4. Step 4: Simplify right side
    231,944.63x = 244,297,148,828.06
  5. Step 5: Solve for x
    x = 244,297,148,828.06/231,944.63
  6. Step 6: Final answer
    x = 1,053,256.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.