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Finding the Third Proportional to 654,709.50 and 984,498.75

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Solution

The third proportional to 654,709.50 and 984,498.75 is: 1,480,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,709.50 : 984,498.75 = 984,498.75 : x
  2. Step 2: Convert to fraction form
    654,709.50/984,498.75 = 984,498.75/x
  3. Step 3: Cross multiply
    654,709.50x = 984,498.75 × 984,498.75
  4. Step 4: Simplify right side
    654,709.50x = 969,237,788,751.56
  5. Step 5: Solve for x
    x = 969,237,788,751.56/654,709.50
  6. Step 6: Final answer
    x = 1,480,408.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.