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Finding the Third Proportional to 326,512.27 and 504,325.62

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Solution

The third proportional to 326,512.27 and 504,325.62 is: 778,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,512.27 : 504,325.62 = 504,325.62 : x
  2. Step 2: Convert to fraction form
    326,512.27/504,325.62 = 504,325.62/x
  3. Step 3: Cross multiply
    326,512.27x = 504,325.62 × 504,325.62
  4. Step 4: Simplify right side
    326,512.27x = 254,344,328,151.55
  5. Step 5: Solve for x
    x = 254,344,328,151.55/326,512.27
  6. Step 6: Final answer
    x = 778,973.27

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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.