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Finding the Third Proportional to 331,846 and 723,969

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Solution

The third proportional to 331,846 and 723,969 is: 1,579,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,846 : 723,969 = 723,969 : x
  2. Step 2: Convert to fraction form
    331,846/723,969 = 723,969/x
  3. Step 3: Cross multiply
    331,846x = 723,969 × 723,969
  4. Step 4: Simplify right side
    331,846x = 524,131,112,961
  5. Step 5: Solve for x
    x = 524,131,112,961/331,846
  6. Step 6: Final answer
    x = 1,579,440.80

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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.