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Finding the Third Proportional to 221,569 and 483,241

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Solution

The third proportional to 221,569 and 483,241 is: 1,053,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,569 : 483,241 = 483,241 : x
  2. Step 2: Convert to fraction form
    221,569/483,241 = 483,241/x
  3. Step 3: Cross multiply
    221,569x = 483,241 × 483,241
  4. Step 4: Simplify right side
    221,569x = 233,521,864,081
  5. Step 5: Solve for x
    x = 233,521,864,081/221,569
  6. Step 6: Final answer
    x = 1,053,946.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.