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Finding the Third Proportional to 221,096 and 483,664

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Solution

The third proportional to 221,096 and 483,664 is: 1,058,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,096 : 483,664 = 483,664 : x
  2. Step 2: Convert to fraction form
    221,096/483,664 = 483,664/x
  3. Step 3: Cross multiply
    221,096x = 483,664 × 483,664
  4. Step 4: Simplify right side
    221,096x = 233,930,864,896
  5. Step 5: Solve for x
    x = 233,930,864,896/221,096
  6. Step 6: Final answer
    x = 1,058,051.09

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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.