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Finding the Third Proportional to 221,206 and 483,807

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Solution

The third proportional to 221,206 and 483,807 is: 1,058,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,206 : 483,807 = 483,807 : x
  2. Step 2: Convert to fraction form
    221,206/483,807 = 483,807/x
  3. Step 3: Cross multiply
    221,206x = 483,807 × 483,807
  4. Step 4: Simplify right side
    221,206x = 234,069,213,249
  5. Step 5: Solve for x
    x = 234,069,213,249/221,206
  6. Step 6: Final answer
    x = 1,058,150.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.