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Finding the Third Proportional to 325,796 and 707,268

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Solution

The third proportional to 325,796 and 707,268 is: 1,535,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,796 : 707,268 = 707,268 : x
  2. Step 2: Convert to fraction form
    325,796/707,268 = 707,268/x
  3. Step 3: Cross multiply
    325,796x = 707,268 × 707,268
  4. Step 4: Simplify right side
    325,796x = 500,228,023,824
  5. Step 5: Solve for x
    x = 500,228,023,824/325,796
  6. Step 6: Final answer
    x = 1,535,402.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.