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Finding the Third Proportional to 282,790.75 and 606,062

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Solution

The third proportional to 282,790.75 and 606,062 is: 1,298,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,790.75 : 606,062 = 606,062 : x
  2. Step 2: Convert to fraction form
    282,790.75/606,062 = 606,062/x
  3. Step 3: Cross multiply
    282,790.75x = 606,062 × 606,062
  4. Step 4: Simplify right side
    282,790.75x = 367,311,147,844
  5. Step 5: Solve for x
    x = 367,311,147,844/282,790.75
  6. Step 6: Final answer
    x = 1,298,879.64

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Why These Related Problems?

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