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Finding the Third Proportional to 337,692 and 534,728

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Solution

The third proportional to 337,692 and 534,728 is: 846,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,692 : 534,728 = 534,728 : x
  2. Step 2: Convert to fraction form
    337,692/534,728 = 534,728/x
  3. Step 3: Cross multiply
    337,692x = 534,728 × 534,728
  4. Step 4: Simplify right side
    337,692x = 285,934,033,984
  5. Step 5: Solve for x
    x = 285,934,033,984/337,692
  6. Step 6: Final answer
    x = 846,730.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.