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Finding the Third Proportional to 441,432 and 683,383.50

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Solution

The third proportional to 441,432 and 683,383.50 is: 1,057,950.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,432 : 683,383.50 = 683,383.50 : x
  2. Step 2: Convert to fraction form
    441,432/683,383.50 = 683,383.50/x
  3. Step 3: Cross multiply
    441,432x = 683,383.50 × 683,383.50
  4. Step 4: Simplify right side
    441,432x = 467,013,008,072.25
  5. Step 5: Solve for x
    x = 467,013,008,072.25/441,432
  6. Step 6: Final answer
    x = 1,057,950.05

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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.