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Finding the Third Proportional to 230,444 and 476,884

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Solution

The third proportional to 230,444 and 476,884 is: 986,870.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,444 : 476,884 = 476,884 : x
  2. Step 2: Convert to fraction form
    230,444/476,884 = 476,884/x
  3. Step 3: Cross multiply
    230,444x = 476,884 × 476,884
  4. Step 4: Simplify right side
    230,444x = 227,418,349,456
  5. Step 5: Solve for x
    x = 227,418,349,456/230,444
  6. Step 6: Final answer
    x = 986,870.34

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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.