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Finding the Third Proportional to 300,690 and 660,900

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Solution

The third proportional to 300,690 and 660,900 is: 1,452,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,690 : 660,900 = 660,900 : x
  2. Step 2: Convert to fraction form
    300,690/660,900 = 660,900/x
  3. Step 3: Cross multiply
    300,690x = 660,900 × 660,900
  4. Step 4: Simplify right side
    300,690x = 436,788,810,000
  5. Step 5: Solve for x
    x = 436,788,810,000/300,690
  6. Step 6: Final answer
    x = 1,452,621.67

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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.