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Finding the Third Proportional to 260,802 and 372,246

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Solution

The third proportional to 260,802 and 372,246 is: 531,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,802 : 372,246 = 372,246 : x
  2. Step 2: Convert to fraction form
    260,802/372,246 = 372,246/x
  3. Step 3: Cross multiply
    260,802x = 372,246 × 372,246
  4. Step 4: Simplify right side
    260,802x = 138,567,084,516
  5. Step 5: Solve for x
    x = 138,567,084,516/260,802
  6. Step 6: Final answer
    x = 531,311.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.