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Finding the Third Proportional to 367,094 and 775,660

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Solution

The third proportional to 367,094 and 775,660 is: 1,638,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,094 : 775,660 = 775,660 : x
  2. Step 2: Convert to fraction form
    367,094/775,660 = 775,660/x
  3. Step 3: Cross multiply
    367,094x = 775,660 × 775,660
  4. Step 4: Simplify right side
    367,094x = 601,648,435,600
  5. Step 5: Solve for x
    x = 601,648,435,600/367,094
  6. Step 6: Final answer
    x = 1,638,949.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.