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Finding the Third Proportional to 226,602 and 476,532

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Solution

The third proportional to 226,602 and 476,532 is: 1,002,121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,602 : 476,532 = 476,532 : x
  2. Step 2: Convert to fraction form
    226,602/476,532 = 476,532/x
  3. Step 3: Cross multiply
    226,602x = 476,532 × 476,532
  4. Step 4: Simplify right side
    226,602x = 227,082,747,024
  5. Step 5: Solve for x
    x = 227,082,747,024/226,602
  6. Step 6: Final answer
    x = 1,002,121.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.