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Finding the Third Proportional to 220,482.75 and 483,003.75

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Solution

The third proportional to 220,482.75 and 483,003.75 is: 1,058,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,482.75 : 483,003.75 = 483,003.75 : x
  2. Step 2: Convert to fraction form
    220,482.75/483,003.75 = 483,003.75/x
  3. Step 3: Cross multiply
    220,482.75x = 483,003.75 × 483,003.75
  4. Step 4: Simplify right side
    220,482.75x = 233,292,622,514.06
  5. Step 5: Solve for x
    x = 233,292,622,514.06/220,482.75
  6. Step 6: Final answer
    x = 1,058,099.21

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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.