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Finding the Third Proportional to 285,417 and 444,467

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Solution

The third proportional to 285,417 and 444,467 is: 692,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,417 : 444,467 = 444,467 : x
  2. Step 2: Convert to fraction form
    285,417/444,467 = 444,467/x
  3. Step 3: Cross multiply
    285,417x = 444,467 × 444,467
  4. Step 4: Simplify right side
    285,417x = 197,550,914,089
  5. Step 5: Solve for x
    x = 197,550,914,089/285,417
  6. Step 6: Final answer
    x = 692,148.38

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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.