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Finding the Third Proportional to 367,048 and 778,162

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Solution

The third proportional to 367,048 and 778,162 is: 1,649,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,048 : 778,162 = 778,162 : x
  2. Step 2: Convert to fraction form
    367,048/778,162 = 778,162/x
  3. Step 3: Cross multiply
    367,048x = 778,162 × 778,162
  4. Step 4: Simplify right side
    367,048x = 605,536,098,244
  5. Step 5: Solve for x
    x = 605,536,098,244/367,048
  6. Step 6: Final answer
    x = 1,649,746.35

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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.