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Finding the Third Proportional to 326,478.09 and 504,273.09

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Solution

The third proportional to 326,478.09 and 504,273.09 is: 778,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,478.09 : 504,273.09 = 504,273.09 : x
  2. Step 2: Convert to fraction form
    326,478.09/504,273.09 = 504,273.09/x
  3. Step 3: Cross multiply
    326,478.09x = 504,273.09 × 504,273.09
  4. Step 4: Simplify right side
    326,478.09x = 254,291,353,080.20
  5. Step 5: Solve for x
    x = 254,291,353,080.20/326,478.09
  6. Step 6: Final answer
    x = 778,892.54

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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.