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Finding the Third Proportional to 220,498 and 483,012

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Solution

The third proportional to 220,498 and 483,012 is: 1,058,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,498 : 483,012 = 483,012 : x
  2. Step 2: Convert to fraction form
    220,498/483,012 = 483,012/x
  3. Step 3: Cross multiply
    220,498x = 483,012 × 483,012
  4. Step 4: Simplify right side
    220,498x = 233,300,592,144
  5. Step 5: Solve for x
    x = 233,300,592,144/220,498
  6. Step 6: Final answer
    x = 1,058,062.17

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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.