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Finding the Third Proportional to 519,828 and 827,058

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Solution

The third proportional to 519,828 and 827,058 is: 1,315,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,828 : 827,058 = 827,058 : x
  2. Step 2: Convert to fraction form
    519,828/827,058 = 827,058/x
  3. Step 3: Cross multiply
    519,828x = 827,058 × 827,058
  4. Step 4: Simplify right side
    519,828x = 684,024,935,364
  5. Step 5: Solve for x
    x = 684,024,935,364/519,828
  6. Step 6: Final answer
    x = 1,315,867.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.