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Finding the Third Proportional to 282,754.50 and 585,190.50

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Solution

The third proportional to 282,754.50 and 585,190.50 is: 1,211,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,754.50 : 585,190.50 = 585,190.50 : x
  2. Step 2: Convert to fraction form
    282,754.50/585,190.50 = 585,190.50/x
  3. Step 3: Cross multiply
    282,754.50x = 585,190.50 × 585,190.50
  4. Step 4: Simplify right side
    282,754.50x = 342,447,921,290.25
  5. Step 5: Solve for x
    x = 342,447,921,290.25/282,754.50
  6. Step 6: Final answer
    x = 1,211,113.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.