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Finding the Third Proportional to 344,002 and 518,019

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Solution

The third proportional to 344,002 and 518,019 is: 780,064.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,002 : 518,019 = 518,019 : x
  2. Step 2: Convert to fraction form
    344,002/518,019 = 518,019/x
  3. Step 3: Cross multiply
    344,002x = 518,019 × 518,019
  4. Step 4: Simplify right side
    344,002x = 268,343,684,361
  5. Step 5: Solve for x
    x = 268,343,684,361/344,002
  6. Step 6: Final answer
    x = 780,064.31

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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.