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Finding the Third Proportional to 282,768.19 and 606,014.44

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Solution

The third proportional to 282,768.19 and 606,014.44 is: 1,298,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,768.19 : 606,014.44 = 606,014.44 : x
  2. Step 2: Convert to fraction form
    282,768.19/606,014.44 = 606,014.44/x
  3. Step 3: Cross multiply
    282,768.19x = 606,014.44 × 606,014.44
  4. Step 4: Simplify right side
    282,768.19x = 367,253,498,458.44
  5. Step 5: Solve for x
    x = 367,253,498,458.44/282,768.19
  6. Step 6: Final answer
    x = 1,298,779.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.