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Finding the Third Proportional to 263,444 and 397,488

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Solution

The third proportional to 263,444 and 397,488 is: 599,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,444 : 397,488 = 397,488 : x
  2. Step 2: Convert to fraction form
    263,444/397,488 = 397,488/x
  3. Step 3: Cross multiply
    263,444x = 397,488 × 397,488
  4. Step 4: Simplify right side
    263,444x = 157,996,710,144
  5. Step 5: Solve for x
    x = 157,996,710,144/263,444
  6. Step 6: Final answer
    x = 599,735.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.