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Finding the Third Proportional to 325,401 and 666,654

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Solution

The third proportional to 325,401 and 666,654 is: 1,365,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,401 : 666,654 = 666,654 : x
  2. Step 2: Convert to fraction form
    325,401/666,654 = 666,654/x
  3. Step 3: Cross multiply
    325,401x = 666,654 × 666,654
  4. Step 4: Simplify right side
    325,401x = 444,427,555,716
  5. Step 5: Solve for x
    x = 444,427,555,716/325,401
  6. Step 6: Final answer
    x = 1,365,784.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.