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Finding the Third Proportional to 414,012.75 and 843,250.50

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Solution

The third proportional to 414,012.75 and 843,250.50 is: 1,717,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,012.75 : 843,250.50 = 843,250.50 : x
  2. Step 2: Convert to fraction form
    414,012.75/843,250.50 = 843,250.50/x
  3. Step 3: Cross multiply
    414,012.75x = 843,250.50 × 843,250.50
  4. Step 4: Simplify right side
    414,012.75x = 711,071,405,750.25
  5. Step 5: Solve for x
    x = 711,071,405,750.25/414,012.75
  6. Step 6: Final answer
    x = 1,717,510.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.