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Finding the Third Proportional to 711,213.75 and 1,062,608.63

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Solution

The third proportional to 711,213.75 and 1,062,608.63 is: 1,587,619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,213.75 : 1,062,608.63 = 1,062,608.63 : x
  2. Step 2: Convert to fraction form
    711,213.75/1,062,608.63 = 1,062,608.63/x
  3. Step 3: Cross multiply
    711,213.75x = 1,062,608.63 × 1,062,608.63
  4. Step 4: Simplify right side
    711,213.75x = 1,129,137,089,924.39
  5. Step 5: Solve for x
    x = 1,129,137,089,924.39/711,213.75
  6. Step 6: Final answer
    x = 1,587,619.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.