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Finding the Third Proportional to 296,885 and 647,052

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Solution

The third proportional to 296,885 and 647,052 is: 1,410,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,885 : 647,052 = 647,052 : x
  2. Step 2: Convert to fraction form
    296,885/647,052 = 647,052/x
  3. Step 3: Cross multiply
    296,885x = 647,052 × 647,052
  4. Step 4: Simplify right side
    296,885x = 418,676,290,704
  5. Step 5: Solve for x
    x = 418,676,290,704/296,885
  6. Step 6: Final answer
    x = 1,410,230.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.