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Finding the Third Proportional to 408,074.50 and 888,428

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Solution

The third proportional to 408,074.50 and 888,428 is: 1,934,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,074.50 : 888,428 = 888,428 : x
  2. Step 2: Convert to fraction form
    408,074.50/888,428 = 888,428/x
  3. Step 3: Cross multiply
    408,074.50x = 888,428 × 888,428
  4. Step 4: Simplify right side
    408,074.50x = 789,304,311,184
  5. Step 5: Solve for x
    x = 789,304,311,184/408,074.50
  6. Step 6: Final answer
    x = 1,934,216.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.