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Finding the Third Proportional to 326,556 and 504,396

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Solution

The third proportional to 326,556 and 504,396 is: 779,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,556 : 504,396 = 504,396 : x
  2. Step 2: Convert to fraction form
    326,556/504,396 = 504,396/x
  3. Step 3: Cross multiply
    326,556x = 504,396 × 504,396
  4. Step 4: Simplify right side
    326,556x = 254,415,324,816
  5. Step 5: Solve for x
    x = 254,415,324,816/326,556
  6. Step 6: Final answer
    x = 779,086.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.