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Finding the Third Proportional to 680,703.75 and 905,623.03

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Solution

The third proportional to 680,703.75 and 905,623.03 is: 1,204,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,703.75 : 905,623.03 = 905,623.03 : x
  2. Step 2: Convert to fraction form
    680,703.75/905,623.03 = 905,623.03/x
  3. Step 3: Cross multiply
    680,703.75x = 905,623.03 × 905,623.03
  4. Step 4: Simplify right side
    680,703.75x = 820,153,074,730.44
  5. Step 5: Solve for x
    x = 820,153,074,730.44/680,703.75
  6. Step 6: Final answer
    x = 1,204,860.52

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.