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Finding the Third Proportional to 342,938 and 534,039

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Solution

The third proportional to 342,938 and 534,039 is: 831,630.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,938 : 534,039 = 534,039 : x
  2. Step 2: Convert to fraction form
    342,938/534,039 = 534,039/x
  3. Step 3: Cross multiply
    342,938x = 534,039 × 534,039
  4. Step 4: Simplify right side
    342,938x = 285,197,653,521
  5. Step 5: Solve for x
    x = 285,197,653,521/342,938
  6. Step 6: Final answer
    x = 831,630.36

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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.