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Finding the Third Proportional to 285,268 and 444,260

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Solution

The third proportional to 285,268 and 444,260 is: 691,865.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,268 : 444,260 = 444,260 : x
  2. Step 2: Convert to fraction form
    285,268/444,260 = 444,260/x
  3. Step 3: Cross multiply
    285,268x = 444,260 × 444,260
  4. Step 4: Simplify right side
    285,268x = 197,366,947,600
  5. Step 5: Solve for x
    x = 197,366,947,600/285,268
  6. Step 6: Final answer
    x = 691,865.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.