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Finding the Third Proportional to 221,464 and 484,144

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Solution

The third proportional to 221,464 and 484,144 is: 1,058,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,464 : 484,144 = 484,144 : x
  2. Step 2: Convert to fraction form
    221,464/484,144 = 484,144/x
  3. Step 3: Cross multiply
    221,464x = 484,144 × 484,144
  4. Step 4: Simplify right side
    221,464x = 234,395,412,736
  5. Step 5: Solve for x
    x = 234,395,412,736/221,464
  6. Step 6: Final answer
    x = 1,058,390.59

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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.