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Finding the Third Proportional to 300,870 and 660,786

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Solution

The third proportional to 300,870 and 660,786 is: 1,451,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,870 : 660,786 = 660,786 : x
  2. Step 2: Convert to fraction form
    300,870/660,786 = 660,786/x
  3. Step 3: Cross multiply
    300,870x = 660,786 × 660,786
  4. Step 4: Simplify right side
    300,870x = 436,638,137,796
  5. Step 5: Solve for x
    x = 436,638,137,796/300,870
  6. Step 6: Final answer
    x = 1,451,251.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.