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Finding the Third Proportional to 225,616 and 481,682

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Solution

The third proportional to 225,616 and 481,682 is: 1,028,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,616 : 481,682 = 481,682 : x
  2. Step 2: Convert to fraction form
    225,616/481,682 = 481,682/x
  3. Step 3: Cross multiply
    225,616x = 481,682 × 481,682
  4. Step 4: Simplify right side
    225,616x = 232,017,549,124
  5. Step 5: Solve for x
    x = 232,017,549,124/225,616
  6. Step 6: Final answer
    x = 1,028,373.65

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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.