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Finding the Third Proportional to 319,195.69 and 700,584.19

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Solution

The third proportional to 319,195.69 and 700,584.19 is: 1,537,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,195.69 : 700,584.19 = 700,584.19 : x
  2. Step 2: Convert to fraction form
    319,195.69/700,584.19 = 700,584.19/x
  3. Step 3: Cross multiply
    319,195.69x = 700,584.19 × 700,584.19
  4. Step 4: Simplify right side
    319,195.69x = 490,818,203,775.04
  5. Step 5: Solve for x
    x = 490,818,203,775.04/319,195.69
  6. Step 6: Final answer
    x = 1,537,671.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.