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Finding the Third Proportional to 467,873 and 666,817

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Solution

The third proportional to 467,873 and 666,817 is: 950,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,873 : 666,817 = 666,817 : x
  2. Step 2: Convert to fraction form
    467,873/666,817 = 666,817/x
  3. Step 3: Cross multiply
    467,873x = 666,817 × 666,817
  4. Step 4: Simplify right side
    467,873x = 444,644,911,489
  5. Step 5: Solve for x
    x = 444,644,911,489/467,873
  6. Step 6: Final answer
    x = 950,353.86

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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.