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Finding the Third Proportional to 361,980 and 476,010

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Solution

The third proportional to 361,980 and 476,010 is: 625,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,980 : 476,010 = 476,010 : x
  2. Step 2: Convert to fraction form
    361,980/476,010 = 476,010/x
  3. Step 3: Cross multiply
    361,980x = 476,010 × 476,010
  4. Step 4: Simplify right side
    361,980x = 226,585,520,100
  5. Step 5: Solve for x
    x = 226,585,520,100/361,980
  6. Step 6: Final answer
    x = 625,961.43

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.