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Finding the Third Proportional to 227,410.03 and 482,544.84

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Solution

The third proportional to 227,410.03 and 482,544.84 is: 1,023,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,410.03 : 482,544.84 = 482,544.84 : x
  2. Step 2: Convert to fraction form
    227,410.03/482,544.84 = 482,544.84/x
  3. Step 3: Cross multiply
    227,410.03x = 482,544.84 × 482,544.84
  4. Step 4: Simplify right side
    227,410.03x = 232,849,526,229.71
  5. Step 5: Solve for x
    x = 232,849,526,229.71/227,410.03
  6. Step 6: Final answer
    x = 1,023,919.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.