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Finding the Third Proportional to 223,002 and 476,532

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Solution

The third proportional to 223,002 and 476,532 is: 1,018,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,002 : 476,532 = 476,532 : x
  2. Step 2: Convert to fraction form
    223,002/476,532 = 476,532/x
  3. Step 3: Cross multiply
    223,002x = 476,532 × 476,532
  4. Step 4: Simplify right side
    223,002x = 227,082,747,024
  5. Step 5: Solve for x
    x = 227,082,747,024/223,002
  6. Step 6: Final answer
    x = 1,018,299.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.