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Finding the Third Proportional to 300,862 and 660,780

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Solution

The third proportional to 300,862 and 660,780 is: 1,451,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,862 : 660,780 = 660,780 : x
  2. Step 2: Convert to fraction form
    300,862/660,780 = 660,780/x
  3. Step 3: Cross multiply
    300,862x = 660,780 × 660,780
  4. Step 4: Simplify right side
    300,862x = 436,630,208,400
  5. Step 5: Solve for x
    x = 436,630,208,400/300,862
  6. Step 6: Final answer
    x = 1,451,264.06

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Why These Related Problems?

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