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Finding the Third Proportional to 296,075 and 449,651

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Solution

The third proportional to 296,075 and 449,651 is: 682,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,075 : 449,651 = 449,651 : x
  2. Step 2: Convert to fraction form
    296,075/449,651 = 449,651/x
  3. Step 3: Cross multiply
    296,075x = 449,651 × 449,651
  4. Step 4: Simplify right side
    296,075x = 202,186,021,801
  5. Step 5: Solve for x
    x = 202,186,021,801/296,075
  6. Step 6: Final answer
    x = 682,887.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.