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Finding the Third Proportional to 373,972 and 804,968

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Solution

The third proportional to 373,972 and 804,968 is: 1,732,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,972 : 804,968 = 804,968 : x
  2. Step 2: Convert to fraction form
    373,972/804,968 = 804,968/x
  3. Step 3: Cross multiply
    373,972x = 804,968 × 804,968
  4. Step 4: Simplify right side
    373,972x = 647,973,481,024
  5. Step 5: Solve for x
    x = 647,973,481,024/373,972
  6. Step 6: Final answer
    x = 1,732,679.13

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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.