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Finding the Third Proportional to 395,004.75 and 595,992.75

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Solution

The third proportional to 395,004.75 and 595,992.75 is: 899,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,004.75 : 595,992.75 = 595,992.75 : x
  2. Step 2: Convert to fraction form
    395,004.75/595,992.75 = 595,992.75/x
  3. Step 3: Cross multiply
    395,004.75x = 595,992.75 × 595,992.75
  4. Step 4: Simplify right side
    395,004.75x = 355,207,358,052.56
  5. Step 5: Solve for x
    x = 355,207,358,052.56/395,004.75
  6. Step 6: Final answer
    x = 899,248.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.