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Finding the Third Proportional to 322,880 and 704,771

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Solution

The third proportional to 322,880 and 704,771 is: 1,538,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,880 : 704,771 = 704,771 : x
  2. Step 2: Convert to fraction form
    322,880/704,771 = 704,771/x
  3. Step 3: Cross multiply
    322,880x = 704,771 × 704,771
  4. Step 4: Simplify right side
    322,880x = 496,702,162,441
  5. Step 5: Solve for x
    x = 496,702,162,441/322,880
  6. Step 6: Final answer
    x = 1,538,349.12

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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.