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Finding the Third Proportional to 435,471.50 and 888,438.50

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Solution

The third proportional to 435,471.50 and 888,438.50 is: 1,812,570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,471.50 : 888,438.50 = 888,438.50 : x
  2. Step 2: Convert to fraction form
    435,471.50/888,438.50 = 888,438.50/x
  3. Step 3: Cross multiply
    435,471.50x = 888,438.50 × 888,438.50
  4. Step 4: Simplify right side
    435,471.50x = 789,322,968,282.25
  5. Step 5: Solve for x
    x = 789,322,968,282.25/435,471.50
  6. Step 6: Final answer
    x = 1,812,570.90

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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.