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Finding the Third Proportional to 342,928 and 534,018

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Solution

The third proportional to 342,928 and 534,018 is: 831,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,928 : 534,018 = 534,018 : x
  2. Step 2: Convert to fraction form
    342,928/534,018 = 534,018/x
  3. Step 3: Cross multiply
    342,928x = 534,018 × 534,018
  4. Step 4: Simplify right side
    342,928x = 285,175,224,324
  5. Step 5: Solve for x
    x = 285,175,224,324/342,928
  6. Step 6: Final answer
    x = 831,589.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.