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Finding the Third Proportional to 220,780 and 491,524

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Solution

The third proportional to 220,780 and 491,524 is: 1,094,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,780 : 491,524 = 491,524 : x
  2. Step 2: Convert to fraction form
    220,780/491,524 = 491,524/x
  3. Step 3: Cross multiply
    220,780x = 491,524 × 491,524
  4. Step 4: Simplify right side
    220,780x = 241,595,842,576
  5. Step 5: Solve for x
    x = 241,595,842,576/220,780
  6. Step 6: Final answer
    x = 1,094,283.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.