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Finding the Third Proportional to 337,840 and 454,824

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Solution

The third proportional to 337,840 and 454,824 is: 612,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,840 : 454,824 = 454,824 : x
  2. Step 2: Convert to fraction form
    337,840/454,824 = 454,824/x
  3. Step 3: Cross multiply
    337,840x = 454,824 × 454,824
  4. Step 4: Simplify right side
    337,840x = 206,864,870,976
  5. Step 5: Solve for x
    x = 206,864,870,976/337,840
  6. Step 6: Final answer
    x = 612,316.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.