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Finding the Third Proportional to 373,971 and 804,966

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Solution

The third proportional to 373,971 and 804,966 is: 1,732,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,971 : 804,966 = 804,966 : x
  2. Step 2: Convert to fraction form
    373,971/804,966 = 804,966/x
  3. Step 3: Cross multiply
    373,971x = 804,966 × 804,966
  4. Step 4: Simplify right side
    373,971x = 647,970,261,156
  5. Step 5: Solve for x
    x = 647,970,261,156/373,971
  6. Step 6: Final answer
    x = 1,732,675.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.