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Finding the Third Proportional to 369,474 and 794,201

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Solution

The third proportional to 369,474 and 794,201 is: 1,707,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,474 : 794,201 = 794,201 : x
  2. Step 2: Convert to fraction form
    369,474/794,201 = 794,201/x
  3. Step 3: Cross multiply
    369,474x = 794,201 × 794,201
  4. Step 4: Simplify right side
    369,474x = 630,755,228,401
  5. Step 5: Solve for x
    x = 630,755,228,401/369,474
  6. Step 6: Final answer
    x = 1,707,170.81

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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.