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Finding the Third Proportional to 224,058 and 468,888

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Solution

The third proportional to 224,058 and 468,888 is: 981,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,058 : 468,888 = 468,888 : x
  2. Step 2: Convert to fraction form
    224,058/468,888 = 468,888/x
  3. Step 3: Cross multiply
    224,058x = 468,888 × 468,888
  4. Step 4: Simplify right side
    224,058x = 219,855,956,544
  5. Step 5: Solve for x
    x = 219,855,956,544/224,058
  6. Step 6: Final answer
    x = 981,245.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.