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Finding the Third Proportional to 283,694 and 612,219

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Solution

The third proportional to 283,694 and 612,219 is: 1,321,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,694 : 612,219 = 612,219 : x
  2. Step 2: Convert to fraction form
    283,694/612,219 = 612,219/x
  3. Step 3: Cross multiply
    283,694x = 612,219 × 612,219
  4. Step 4: Simplify right side
    283,694x = 374,812,103,961
  5. Step 5: Solve for x
    x = 374,812,103,961/283,694
  6. Step 6: Final answer
    x = 1,321,184.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.