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Finding the Third Proportional to 326,520.56 and 504,338.06

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Solution

The third proportional to 326,520.56 and 504,338.06 is: 778,991.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,520.56 : 504,338.06 = 504,338.06 : x
  2. Step 2: Convert to fraction form
    326,520.56/504,338.06 = 504,338.06/x
  3. Step 3: Cross multiply
    326,520.56x = 504,338.06 × 504,338.06
  4. Step 4: Simplify right side
    326,520.56x = 254,356,881,286.25
  5. Step 5: Solve for x
    x = 254,356,881,286.25/326,520.56
  6. Step 6: Final answer
    x = 778,991.92

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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.