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Finding the Third Proportional to 297,872 and 642,400

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Solution

The third proportional to 297,872 and 642,400 is: 1,385,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,872 : 642,400 = 642,400 : x
  2. Step 2: Convert to fraction form
    297,872/642,400 = 642,400/x
  3. Step 3: Cross multiply
    297,872x = 642,400 × 642,400
  4. Step 4: Simplify right side
    297,872x = 412,677,760,000
  5. Step 5: Solve for x
    x = 412,677,760,000/297,872
  6. Step 6: Final answer
    x = 1,385,419.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.