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Finding the Third Proportional to 375,326 and 804,961

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Solution

The third proportional to 375,326 and 804,961 is: 1,726,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,326 : 804,961 = 804,961 : x
  2. Step 2: Convert to fraction form
    375,326/804,961 = 804,961/x
  3. Step 3: Cross multiply
    375,326x = 804,961 × 804,961
  4. Step 4: Simplify right side
    375,326x = 647,962,211,521
  5. Step 5: Solve for x
    x = 647,962,211,521/375,326
  6. Step 6: Final answer
    x = 1,726,398.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.