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Finding the Third Proportional to 378,401 and 585,962

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Solution

The third proportional to 378,401 and 585,962 is: 907,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,401 : 585,962 = 585,962 : x
  2. Step 2: Convert to fraction form
    378,401/585,962 = 585,962/x
  3. Step 3: Cross multiply
    378,401x = 585,962 × 585,962
  4. Step 4: Simplify right side
    378,401x = 343,351,465,444
  5. Step 5: Solve for x
    x = 343,351,465,444/378,401
  6. Step 6: Final answer
    x = 907,374.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.