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Finding the Third Proportional to 297,059 and 641,466

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Solution

The third proportional to 297,059 and 641,466 is: 1,385,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,059 : 641,466 = 641,466 : x
  2. Step 2: Convert to fraction form
    297,059/641,466 = 641,466/x
  3. Step 3: Cross multiply
    297,059x = 641,466 × 641,466
  4. Step 4: Simplify right side
    297,059x = 411,478,629,156
  5. Step 5: Solve for x
    x = 411,478,629,156/297,059
  6. Step 6: Final answer
    x = 1,385,174.76

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Why These Related Problems?

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