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Finding the Third Proportional to 225,038 and 481,178

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Solution

The third proportional to 225,038 and 481,178 is: 1,028,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,038 : 481,178 = 481,178 : x
  2. Step 2: Convert to fraction form
    225,038/481,178 = 481,178/x
  3. Step 3: Cross multiply
    225,038x = 481,178 × 481,178
  4. Step 4: Simplify right side
    225,038x = 231,532,267,684
  5. Step 5: Solve for x
    x = 231,532,267,684/225,038
  6. Step 6: Final answer
    x = 1,028,858.54

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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.