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Finding the Third Proportional to 297,195.75 and 579,507.75

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Solution

The third proportional to 297,195.75 and 579,507.75 is: 1,129,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,195.75 : 579,507.75 = 579,507.75 : x
  2. Step 2: Convert to fraction form
    297,195.75/579,507.75 = 579,507.75/x
  3. Step 3: Cross multiply
    297,195.75x = 579,507.75 × 579,507.75
  4. Step 4: Simplify right side
    297,195.75x = 335,829,232,310.06
  5. Step 5: Solve for x
    x = 335,829,232,310.06/297,195.75
  6. Step 6: Final answer
    x = 1,129,993.39

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.