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Finding the Third Proportional to 227,290.78 and 478,544.06

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Solution

The third proportional to 227,290.78 and 478,544.06 is: 1,007,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,290.78 : 478,544.06 = 478,544.06 : x
  2. Step 2: Convert to fraction form
    227,290.78/478,544.06 = 478,544.06/x
  3. Step 3: Cross multiply
    227,290.78x = 478,544.06 × 478,544.06
  4. Step 4: Simplify right side
    227,290.78x = 229,004,419,754.00
  5. Step 5: Solve for x
    x = 229,004,419,754.00/227,290.78
  6. Step 6: Final answer
    x = 1,007,539.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.