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Finding the Third Proportional to 467,886 and 666,837

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Solution

The third proportional to 467,886 and 666,837 is: 950,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,886 : 666,837 = 666,837 : x
  2. Step 2: Convert to fraction form
    467,886/666,837 = 666,837/x
  3. Step 3: Cross multiply
    467,886x = 666,837 × 666,837
  4. Step 4: Simplify right side
    467,886x = 444,671,584,569
  5. Step 5: Solve for x
    x = 444,671,584,569/467,886
  6. Step 6: Final answer
    x = 950,384.46

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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.