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Finding the Third Proportional to 300,496 and 612,125

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Solution

The third proportional to 300,496 and 612,125 is: 1,246,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,496 : 612,125 = 612,125 : x
  2. Step 2: Convert to fraction form
    300,496/612,125 = 612,125/x
  3. Step 3: Cross multiply
    300,496x = 612,125 × 612,125
  4. Step 4: Simplify right side
    300,496x = 374,697,015,625
  5. Step 5: Solve for x
    x = 374,697,015,625/300,496
  6. Step 6: Final answer
    x = 1,246,928.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.