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Finding the Third Proportional to 621,684.75 and 934,834.50

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Solution

The third proportional to 621,684.75 and 934,834.50 is: 1,405,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,684.75 : 934,834.50 = 934,834.50 : x
  2. Step 2: Convert to fraction form
    621,684.75/934,834.50 = 934,834.50/x
  3. Step 3: Cross multiply
    621,684.75x = 934,834.50 × 934,834.50
  4. Step 4: Simplify right side
    621,684.75x = 873,915,542,390.25
  5. Step 5: Solve for x
    x = 873,915,542,390.25/621,684.75
  6. Step 6: Final answer
    x = 1,405,721.38

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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.