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Finding the Third Proportional to 285,585.75 and 584,475.75

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Solution

The third proportional to 285,585.75 and 584,475.75 is: 1,196,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,585.75 : 584,475.75 = 584,475.75 : x
  2. Step 2: Convert to fraction form
    285,585.75/584,475.75 = 584,475.75/x
  3. Step 3: Cross multiply
    285,585.75x = 584,475.75 × 584,475.75
  4. Step 4: Simplify right side
    285,585.75x = 341,611,902,338.06
  5. Step 5: Solve for x
    x = 341,611,902,338.06/285,585.75
  6. Step 6: Final answer
    x = 1,196,179.79

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.