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Finding the Third Proportional to 231,838 and 494,300

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Solution

The third proportional to 231,838 and 494,300 is: 1,053,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,838 : 494,300 = 494,300 : x
  2. Step 2: Convert to fraction form
    231,838/494,300 = 494,300/x
  3. Step 3: Cross multiply
    231,838x = 494,300 × 494,300
  4. Step 4: Simplify right side
    231,838x = 244,332,490,000
  5. Step 5: Solve for x
    x = 244,332,490,000/231,838
  6. Step 6: Final answer
    x = 1,053,893.19

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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.