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Finding the Third Proportional to 325,836 and 691,002

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Solution

The third proportional to 325,836 and 691,002 is: 1,465,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,836 : 691,002 = 691,002 : x
  2. Step 2: Convert to fraction form
    325,836/691,002 = 691,002/x
  3. Step 3: Cross multiply
    325,836x = 691,002 × 691,002
  4. Step 4: Simplify right side
    325,836x = 477,483,764,004
  5. Step 5: Solve for x
    x = 477,483,764,004/325,836
  6. Step 6: Final answer
    x = 1,465,411.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.