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Finding the Third Proportional to 395,259.75 and 595,599.75

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Solution

The third proportional to 395,259.75 and 595,599.75 is: 897,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,259.75 : 595,599.75 = 595,599.75 : x
  2. Step 2: Convert to fraction form
    395,259.75/595,599.75 = 595,599.75/x
  3. Step 3: Cross multiply
    395,259.75x = 595,599.75 × 595,599.75
  4. Step 4: Simplify right side
    395,259.75x = 354,739,062,200.06
  5. Step 5: Solve for x
    x = 354,739,062,200.06/395,259.75
  6. Step 6: Final answer
    x = 897,483.39

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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.