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Finding the Third Proportional to 367,050 and 778,166

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Solution

The third proportional to 367,050 and 778,166 is: 1,649,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,050 : 778,166 = 778,166 : x
  2. Step 2: Convert to fraction form
    367,050/778,166 = 778,166/x
  3. Step 3: Cross multiply
    367,050x = 778,166 × 778,166
  4. Step 4: Simplify right side
    367,050x = 605,542,323,556
  5. Step 5: Solve for x
    x = 605,542,323,556/367,050
  6. Step 6: Final answer
    x = 1,649,754.32

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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.