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Finding the Third Proportional to 367,023 and 778,110.75

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Solution

The third proportional to 367,023 and 778,110.75 is: 1,649,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,023 : 778,110.75 = 778,110.75 : x
  2. Step 2: Convert to fraction form
    367,023/778,110.75 = 778,110.75/x
  3. Step 3: Cross multiply
    367,023x = 778,110.75 × 778,110.75
  4. Step 4: Simplify right side
    367,023x = 605,456,339,265.56
  5. Step 5: Solve for x
    x = 605,456,339,265.56/367,023
  6. Step 6: Final answer
    x = 1,649,641.41

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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.