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Finding the Third Proportional to 300,873 and 660,798

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Solution

The third proportional to 300,873 and 660,798 is: 1,451,290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,873 : 660,798 = 660,798 : x
  2. Step 2: Convert to fraction form
    300,873/660,798 = 660,798/x
  3. Step 3: Cross multiply
    300,873x = 660,798 × 660,798
  4. Step 4: Simplify right side
    300,873x = 436,653,996,804
  5. Step 5: Solve for x
    x = 436,653,996,804/300,873
  6. Step 6: Final answer
    x = 1,451,290.07

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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.