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Finding the Third Proportional to 225,600.19 and 481,643.72

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Solution

The third proportional to 225,600.19 and 481,643.72 is: 1,028,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,600.19 : 481,643.72 = 481,643.72 : x
  2. Step 2: Convert to fraction form
    225,600.19/481,643.72 = 481,643.72/x
  3. Step 3: Cross multiply
    225,600.19x = 481,643.72 × 481,643.72
  4. Step 4: Simplify right side
    225,600.19x = 231,980,671,811.33
  5. Step 5: Solve for x
    x = 231,980,671,811.33/225,600.19
  6. Step 6: Final answer
    x = 1,028,282.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.