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Finding the Third Proportional to 414,958.50 and 905,301

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Solution

The third proportional to 414,958.50 and 905,301 is: 1,975,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,958.50 : 905,301 = 905,301 : x
  2. Step 2: Convert to fraction form
    414,958.50/905,301 = 905,301/x
  3. Step 3: Cross multiply
    414,958.50x = 905,301 × 905,301
  4. Step 4: Simplify right side
    414,958.50x = 819,569,900,601
  5. Step 5: Solve for x
    x = 819,569,900,601/414,958.50
  6. Step 6: Final answer
    x = 1,975,064.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.