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Finding the Third Proportional to 221,538 and 474,576

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Solution

The third proportional to 221,538 and 474,576 is: 1,016,630.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,538 : 474,576 = 474,576 : x
  2. Step 2: Convert to fraction form
    221,538/474,576 = 474,576/x
  3. Step 3: Cross multiply
    221,538x = 474,576 × 474,576
  4. Step 4: Simplify right side
    221,538x = 225,222,379,776
  5. Step 5: Solve for x
    x = 225,222,379,776/221,538
  6. Step 6: Final answer
    x = 1,016,630.92

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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.