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Finding the Third Proportional to 221,123 and 483,616

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Solution

The third proportional to 221,123 and 483,616 is: 1,057,711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,123 : 483,616 = 483,616 : x
  2. Step 2: Convert to fraction form
    221,123/483,616 = 483,616/x
  3. Step 3: Cross multiply
    221,123x = 483,616 × 483,616
  4. Step 4: Simplify right side
    221,123x = 233,884,435,456
  5. Step 5: Solve for x
    x = 233,884,435,456/221,123
  6. Step 6: Final answer
    x = 1,057,711.93

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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.