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Finding the Third Proportional to 285,422 and 444,475

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Solution

The third proportional to 285,422 and 444,475 is: 692,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,422 : 444,475 = 444,475 : x
  2. Step 2: Convert to fraction form
    285,422/444,475 = 444,475/x
  3. Step 3: Cross multiply
    285,422x = 444,475 × 444,475
  4. Step 4: Simplify right side
    285,422x = 197,558,025,625
  5. Step 5: Solve for x
    x = 197,558,025,625/285,422
  6. Step 6: Final answer
    x = 692,161.17

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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.