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Finding the Third Proportional to 631,374.75 and 957,207.38

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Solution

The third proportional to 631,374.75 and 957,207.38 is: 1,451,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,374.75 : 957,207.38 = 957,207.38 : x
  2. Step 2: Convert to fraction form
    631,374.75/957,207.38 = 957,207.38/x
  3. Step 3: Cross multiply
    631,374.75x = 957,207.38 × 957,207.38
  4. Step 4: Simplify right side
    631,374.75x = 916,245,958,754.39
  5. Step 5: Solve for x
    x = 916,245,958,754.39/631,374.75
  6. Step 6: Final answer
    x = 1,451,191.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.