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Finding the Third Proportional to 297,075 and 641,497

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Solution

The third proportional to 297,075 and 641,497 is: 1,385,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,075 : 641,497 = 641,497 : x
  2. Step 2: Convert to fraction form
    297,075/641,497 = 641,497/x
  3. Step 3: Cross multiply
    297,075x = 641,497 × 641,497
  4. Step 4: Simplify right side
    297,075x = 411,518,401,009
  5. Step 5: Solve for x
    x = 411,518,401,009/297,075
  6. Step 6: Final answer
    x = 1,385,234.04

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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.