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Finding the Third Proportional to 367,020.28 and 778,104.56

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Solution

The third proportional to 367,020.28 and 778,104.56 is: 1,649,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,020.28 : 778,104.56 = 778,104.56 : x
  2. Step 2: Convert to fraction form
    367,020.28/778,104.56 = 778,104.56/x
  3. Step 3: Cross multiply
    367,020.28x = 778,104.56 × 778,104.56
  4. Step 4: Simplify right side
    367,020.28x = 605,446,710,183.32
  5. Step 5: Solve for x
    x = 605,446,710,183.32/367,020.28
  6. Step 6: Final answer
    x = 1,649,627.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.