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Finding the Third Proportional to 519,426 and 782,568

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Solution

The third proportional to 519,426 and 782,568 is: 1,179,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,426 : 782,568 = 782,568 : x
  2. Step 2: Convert to fraction form
    519,426/782,568 = 782,568/x
  3. Step 3: Cross multiply
    519,426x = 782,568 × 782,568
  4. Step 4: Simplify right side
    519,426x = 612,412,674,624
  5. Step 5: Solve for x
    x = 612,412,674,624/519,426
  6. Step 6: Final answer
    x = 1,179,018.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.