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Finding the Third Proportional to 282,669.75 and 446,284.69

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Solution

The third proportional to 282,669.75 and 446,284.69 is: 704,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,669.75 : 446,284.69 = 446,284.69 : x
  2. Step 2: Convert to fraction form
    282,669.75/446,284.69 = 446,284.69/x
  3. Step 3: Cross multiply
    282,669.75x = 446,284.69 × 446,284.69
  4. Step 4: Simplify right side
    282,669.75x = 199,170,022,296.97
  5. Step 5: Solve for x
    x = 199,170,022,296.97/282,669.75
  6. Step 6: Final answer
    x = 704,603.24

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.