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Finding the Third Proportional to 367,008 and 778,118

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Solution

The third proportional to 367,008 and 778,118 is: 1,649,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,008 : 778,118 = 778,118 : x
  2. Step 2: Convert to fraction form
    367,008/778,118 = 778,118/x
  3. Step 3: Cross multiply
    367,008x = 778,118 × 778,118
  4. Step 4: Simplify right side
    367,008x = 605,467,621,924
  5. Step 5: Solve for x
    x = 605,467,621,924/367,008
  6. Step 6: Final answer
    x = 1,649,739.57

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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.