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Finding the Third Proportional to 298,336 and 451,837

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Solution

The third proportional to 298,336 and 451,837 is: 684,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,336 : 451,837 = 451,837 : x
  2. Step 2: Convert to fraction form
    298,336/451,837 = 451,837/x
  3. Step 3: Cross multiply
    298,336x = 451,837 × 451,837
  4. Step 4: Simplify right side
    298,336x = 204,156,674,569
  5. Step 5: Solve for x
    x = 204,156,674,569/298,336
  6. Step 6: Final answer
    x = 684,317.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.