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Finding the Third Proportional to 673,449.75 and 1,010,193.75

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Solution

The third proportional to 673,449.75 and 1,010,193.75 is: 1,515,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,449.75 : 1,010,193.75 = 1,010,193.75 : x
  2. Step 2: Convert to fraction form
    673,449.75/1,010,193.75 = 1,010,193.75/x
  3. Step 3: Cross multiply
    673,449.75x = 1,010,193.75 × 1,010,193.75
  4. Step 4: Simplify right side
    673,449.75x = 1,020,491,412,539.06
  5. Step 5: Solve for x
    x = 1,020,491,412,539.06/673,449.75
  6. Step 6: Final answer
    x = 1,515,319.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.