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Finding the Third Proportional to 260,325 and 393,260

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Solution

The third proportional to 260,325 and 393,260 is: 594,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,325 : 393,260 = 393,260 : x
  2. Step 2: Convert to fraction form
    260,325/393,260 = 393,260/x
  3. Step 3: Cross multiply
    260,325x = 393,260 × 393,260
  4. Step 4: Simplify right side
    260,325x = 154,653,427,600
  5. Step 5: Solve for x
    x = 154,653,427,600/260,325
  6. Step 6: Final answer
    x = 594,078.28

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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.