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Finding the Third Proportional to 220,532 and 483,091

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Solution

The third proportional to 220,532 and 483,091 is: 1,058,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,532 : 483,091 = 483,091 : x
  2. Step 2: Convert to fraction form
    220,532/483,091 = 483,091/x
  3. Step 3: Cross multiply
    220,532x = 483,091 × 483,091
  4. Step 4: Simplify right side
    220,532x = 233,376,914,281
  5. Step 5: Solve for x
    x = 233,376,914,281/220,532
  6. Step 6: Final answer
    x = 1,058,245.13

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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.