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Finding the Third Proportional to 673,211.25 and 983,778.75

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Solution

The third proportional to 673,211.25 and 983,778.75 is: 1,437,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,211.25 : 983,778.75 = 983,778.75 : x
  2. Step 2: Convert to fraction form
    673,211.25/983,778.75 = 983,778.75/x
  3. Step 3: Cross multiply
    673,211.25x = 983,778.75 × 983,778.75
  4. Step 4: Simplify right side
    673,211.25x = 967,820,628,951.56
  5. Step 5: Solve for x
    x = 967,820,628,951.56/673,211.25
  6. Step 6: Final answer
    x = 1,437,618.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.