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Finding the Third Proportional to 304,224 and 455,874

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Solution

The third proportional to 304,224 and 455,874 is: 683,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,224 : 455,874 = 455,874 : x
  2. Step 2: Convert to fraction form
    304,224/455,874 = 455,874/x
  3. Step 3: Cross multiply
    304,224x = 455,874 × 455,874
  4. Step 4: Simplify right side
    304,224x = 207,821,103,876
  5. Step 5: Solve for x
    x = 207,821,103,876/304,224
  6. Step 6: Final answer
    x = 683,118.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.