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Finding the Third Proportional to 600,984 and 899,568

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Solution

The third proportional to 600,984 and 899,568 is: 1,346,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,984 : 899,568 = 899,568 : x
  2. Step 2: Convert to fraction form
    600,984/899,568 = 899,568/x
  3. Step 3: Cross multiply
    600,984x = 899,568 × 899,568
  4. Step 4: Simplify right side
    600,984x = 809,222,586,624
  5. Step 5: Solve for x
    x = 809,222,586,624/600,984
  6. Step 6: Final answer
    x = 1,346,496.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.