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Finding the Third Proportional to 709,851.75 and 996,042

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Solution

The third proportional to 709,851.75 and 996,042 is: 1,397,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,851.75 : 996,042 = 996,042 : x
  2. Step 2: Convert to fraction form
    709,851.75/996,042 = 996,042/x
  3. Step 3: Cross multiply
    709,851.75x = 996,042 × 996,042
  4. Step 4: Simplify right side
    709,851.75x = 992,099,665,764
  5. Step 5: Solve for x
    x = 992,099,665,764/709,851.75
  6. Step 6: Final answer
    x = 1,397,615.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.