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Finding the Third Proportional to 221,647 and 474,803

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Solution

The third proportional to 221,647 and 474,803 is: 1,017,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,647 : 474,803 = 474,803 : x
  2. Step 2: Convert to fraction form
    221,647/474,803 = 474,803/x
  3. Step 3: Cross multiply
    221,647x = 474,803 × 474,803
  4. Step 4: Simplify right side
    221,647x = 225,437,888,809
  5. Step 5: Solve for x
    x = 225,437,888,809/221,647
  6. Step 6: Final answer
    x = 1,017,103.27

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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.