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Finding the Third Proportional to 326,551 and 504,378

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Solution

The third proportional to 326,551 and 504,378 is: 779,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,551 : 504,378 = 504,378 : x
  2. Step 2: Convert to fraction form
    326,551/504,378 = 504,378/x
  3. Step 3: Cross multiply
    326,551x = 504,378 × 504,378
  4. Step 4: Simplify right side
    326,551x = 254,397,166,884
  5. Step 5: Solve for x
    x = 254,397,166,884/326,551
  6. Step 6: Final answer
    x = 779,042.68

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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.