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Finding the Third Proportional to 223,244 and 481,482

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Solution

The third proportional to 223,244 and 481,482 is: 1,038,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,244 : 481,482 = 481,482 : x
  2. Step 2: Convert to fraction form
    223,244/481,482 = 481,482/x
  3. Step 3: Cross multiply
    223,244x = 481,482 × 481,482
  4. Step 4: Simplify right side
    223,244x = 231,824,916,324
  5. Step 5: Solve for x
    x = 231,824,916,324/223,244
  6. Step 6: Final answer
    x = 1,038,437.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.