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Finding the Third Proportional to 326,522.25 and 504,340.38

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Solution

The third proportional to 326,522.25 and 504,340.38 is: 778,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,522.25 : 504,340.38 = 504,340.38 : x
  2. Step 2: Convert to fraction form
    326,522.25/504,340.38 = 504,340.38/x
  3. Step 3: Cross multiply
    326,522.25x = 504,340.38 × 504,340.38
  4. Step 4: Simplify right side
    326,522.25x = 254,359,213,855.14
  5. Step 5: Solve for x
    x = 254,359,213,855.14/326,522.25
  6. Step 6: Final answer
    x = 778,995.04

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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.