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Finding the Third Proportional to 350,988 and 758,016.75

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Solution

The third proportional to 350,988 and 758,016.75 is: 1,637,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,988 : 758,016.75 = 758,016.75 : x
  2. Step 2: Convert to fraction form
    350,988/758,016.75 = 758,016.75/x
  3. Step 3: Cross multiply
    350,988x = 758,016.75 × 758,016.75
  4. Step 4: Simplify right side
    350,988x = 574,589,393,280.56
  5. Step 5: Solve for x
    x = 574,589,393,280.56/350,988
  6. Step 6: Final answer
    x = 1,637,062.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.