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Finding the Third Proportional to 337,719 and 534,768

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Solution

The third proportional to 337,719 and 534,768 is: 846,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,719 : 534,768 = 534,768 : x
  2. Step 2: Convert to fraction form
    337,719/534,768 = 534,768/x
  3. Step 3: Cross multiply
    337,719x = 534,768 × 534,768
  4. Step 4: Simplify right side
    337,719x = 285,976,813,824
  5. Step 5: Solve for x
    x = 285,976,813,824/337,719
  6. Step 6: Final answer
    x = 846,789.24

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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.