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Finding the Third Proportional to 393,229 and 860,049

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Solution

The third proportional to 393,229 and 860,049 is: 1,881,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,229 : 860,049 = 860,049 : x
  2. Step 2: Convert to fraction form
    393,229/860,049 = 860,049/x
  3. Step 3: Cross multiply
    393,229x = 860,049 × 860,049
  4. Step 4: Simplify right side
    393,229x = 739,684,282,401
  5. Step 5: Solve for x
    x = 739,684,282,401/393,229
  6. Step 6: Final answer
    x = 1,881,052.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.