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Finding the Third Proportional to 337,686 and 534,717

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Solution

The third proportional to 337,686 and 534,717 is: 846,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,686 : 534,717 = 534,717 : x
  2. Step 2: Convert to fraction form
    337,686/534,717 = 534,717/x
  3. Step 3: Cross multiply
    337,686x = 534,717 × 534,717
  4. Step 4: Simplify right side
    337,686x = 285,922,270,089
  5. Step 5: Solve for x
    x = 285,922,270,089/337,686
  6. Step 6: Final answer
    x = 846,710.47

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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.