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Finding the Third Proportional to 435,470 and 888,435.75

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Solution

The third proportional to 435,470 and 888,435.75 is: 1,812,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,470 : 888,435.75 = 888,435.75 : x
  2. Step 2: Convert to fraction form
    435,470/888,435.75 = 888,435.75/x
  3. Step 3: Cross multiply
    435,470x = 888,435.75 × 888,435.75
  4. Step 4: Simplify right side
    435,470x = 789,318,081,878.06
  5. Step 5: Solve for x
    x = 789,318,081,878.06/435,470
  6. Step 6: Final answer
    x = 1,812,565.92

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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.