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Finding the Third Proportional to 348,624 and 521,568

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Solution

The third proportional to 348,624 and 521,568 is: 780,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,624 : 521,568 = 521,568 : x
  2. Step 2: Convert to fraction form
    348,624/521,568 = 521,568/x
  3. Step 3: Cross multiply
    348,624x = 521,568 × 521,568
  4. Step 4: Simplify right side
    348,624x = 272,033,178,624
  5. Step 5: Solve for x
    x = 272,033,178,624/348,624
  6. Step 6: Final answer
    x = 780,305.37

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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.