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Finding the Third Proportional to 320,006 and 700,268

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Solution

The third proportional to 320,006 and 700,268 is: 1,532,393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,006 : 700,268 = 700,268 : x
  2. Step 2: Convert to fraction form
    320,006/700,268 = 700,268/x
  3. Step 3: Cross multiply
    320,006x = 700,268 × 700,268
  4. Step 4: Simplify right side
    320,006x = 490,375,271,824
  5. Step 5: Solve for x
    x = 490,375,271,824/320,006
  6. Step 6: Final answer
    x = 1,532,393.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.