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Finding the Third Proportional to 263,496 and 397,560

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Solution

The third proportional to 263,496 and 397,560 is: 599,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,496 : 397,560 = 397,560 : x
  2. Step 2: Convert to fraction form
    263,496/397,560 = 397,560/x
  3. Step 3: Cross multiply
    263,496x = 397,560 × 397,560
  4. Step 4: Simplify right side
    263,496x = 158,053,953,600
  5. Step 5: Solve for x
    x = 158,053,953,600/263,496
  6. Step 6: Final answer
    x = 599,834.36

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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.