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Finding the Third Proportional to 230,123 and 476,223

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Solution

The third proportional to 230,123 and 476,223 is: 985,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,123 : 476,223 = 476,223 : x
  2. Step 2: Convert to fraction form
    230,123/476,223 = 476,223/x
  3. Step 3: Cross multiply
    230,123x = 476,223 × 476,223
  4. Step 4: Simplify right side
    230,123x = 226,788,345,729
  5. Step 5: Solve for x
    x = 226,788,345,729/230,123
  6. Step 6: Final answer
    x = 985,509.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.