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Finding the Third Proportional to 421,512 and 804,144

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Solution

The third proportional to 421,512 and 804,144 is: 1,534,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,512 : 804,144 = 804,144 : x
  2. Step 2: Convert to fraction form
    421,512/804,144 = 804,144/x
  3. Step 3: Cross multiply
    421,512x = 804,144 × 804,144
  4. Step 4: Simplify right side
    421,512x = 646,647,572,736
  5. Step 5: Solve for x
    x = 646,647,572,736/421,512
  6. Step 6: Final answer
    x = 1,534,114.27

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.