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Finding the Third Proportional to 326,669 and 491,904

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Solution

The third proportional to 326,669 and 491,904 is: 740,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,669 : 491,904 = 491,904 : x
  2. Step 2: Convert to fraction form
    326,669/491,904 = 491,904/x
  3. Step 3: Cross multiply
    326,669x = 491,904 × 491,904
  4. Step 4: Simplify right side
    326,669x = 241,969,545,216
  5. Step 5: Solve for x
    x = 241,969,545,216/326,669
  6. Step 6: Final answer
    x = 740,717.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.