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Finding the Third Proportional to 225,284 and 483,848

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Solution

The third proportional to 225,284 and 483,848 is: 1,039,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,284 : 483,848 = 483,848 : x
  2. Step 2: Convert to fraction form
    225,284/483,848 = 483,848/x
  3. Step 3: Cross multiply
    225,284x = 483,848 × 483,848
  4. Step 4: Simplify right side
    225,284x = 234,108,887,104
  5. Step 5: Solve for x
    x = 234,108,887,104/225,284
  6. Step 6: Final answer
    x = 1,039,172.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.