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Finding the Third Proportional to 330,572 and 678,568

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Solution

The third proportional to 330,572 and 678,568 is: 1,392,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,572 : 678,568 = 678,568 : x
  2. Step 2: Convert to fraction form
    330,572/678,568 = 678,568/x
  3. Step 3: Cross multiply
    330,572x = 678,568 × 678,568
  4. Step 4: Simplify right side
    330,572x = 460,454,530,624
  5. Step 5: Solve for x
    x = 460,454,530,624/330,572
  6. Step 6: Final answer
    x = 1,392,902.40

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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.