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Finding the Third Proportional to 433,815.75 and 888,772.50

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Solution

The third proportional to 433,815.75 and 888,772.50 is: 1,820,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,815.75 : 888,772.50 = 888,772.50 : x
  2. Step 2: Convert to fraction form
    433,815.75/888,772.50 = 888,772.50/x
  3. Step 3: Cross multiply
    433,815.75x = 888,772.50 × 888,772.50
  4. Step 4: Simplify right side
    433,815.75x = 789,916,556,756.25
  5. Step 5: Solve for x
    x = 789,916,556,756.25/433,815.75
  6. Step 6: Final answer
    x = 1,820,857.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.