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Finding the Third Proportional to 435,476.25 and 888,446.25

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Solution

The third proportional to 435,476.25 and 888,446.25 is: 1,812,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,476.25 : 888,446.25 = 888,446.25 : x
  2. Step 2: Convert to fraction form
    435,476.25/888,446.25 = 888,446.25/x
  3. Step 3: Cross multiply
    435,476.25x = 888,446.25 × 888,446.25
  4. Step 4: Simplify right side
    435,476.25x = 789,336,739,139.06
  5. Step 5: Solve for x
    x = 789,336,739,139.06/435,476.25
  6. Step 6: Final answer
    x = 1,812,582.75

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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.