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Finding the Third Proportional to 260,384 and 393,369

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Solution

The third proportional to 260,384 and 393,369 is: 594,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,384 : 393,369 = 393,369 : x
  2. Step 2: Convert to fraction form
    260,384/393,369 = 393,369/x
  3. Step 3: Cross multiply
    260,384x = 393,369 × 393,369
  4. Step 4: Simplify right side
    260,384x = 154,739,170,161
  5. Step 5: Solve for x
    x = 154,739,170,161/260,384
  6. Step 6: Final answer
    x = 594,272.96

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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.