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Finding the Third Proportional to 283,468 and 444,714

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Solution

The third proportional to 283,468 and 444,714 is: 697,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,468 : 444,714 = 444,714 : x
  2. Step 2: Convert to fraction form
    283,468/444,714 = 444,714/x
  3. Step 3: Cross multiply
    283,468x = 444,714 × 444,714
  4. Step 4: Simplify right side
    283,468x = 197,770,541,796
  5. Step 5: Solve for x
    x = 197,770,541,796/283,468
  6. Step 6: Final answer
    x = 697,682.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.