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Finding the Third Proportional to 441,414 and 683,354.25

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Solution

The third proportional to 441,414 and 683,354.25 is: 1,057,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,414 : 683,354.25 = 683,354.25 : x
  2. Step 2: Convert to fraction form
    441,414/683,354.25 = 683,354.25/x
  3. Step 3: Cross multiply
    441,414x = 683,354.25 × 683,354.25
  4. Step 4: Simplify right side
    441,414x = 466,973,030,993.06
  5. Step 5: Solve for x
    x = 466,973,030,993.06/441,414
  6. Step 6: Final answer
    x = 1,057,902.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.