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Finding the Third Proportional to 260,516 and 389,680

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Solution

The third proportional to 260,516 and 389,680 is: 582,883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,516 : 389,680 = 389,680 : x
  2. Step 2: Convert to fraction form
    260,516/389,680 = 389,680/x
  3. Step 3: Cross multiply
    260,516x = 389,680 × 389,680
  4. Step 4: Simplify right side
    260,516x = 151,850,502,400
  5. Step 5: Solve for x
    x = 151,850,502,400/260,516
  6. Step 6: Final answer
    x = 582,883.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.