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Finding the Third Proportional to 351,075 and 756,225

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Solution

The third proportional to 351,075 and 756,225 is: 1,628,929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,075 : 756,225 = 756,225 : x
  2. Step 2: Convert to fraction form
    351,075/756,225 = 756,225/x
  3. Step 3: Cross multiply
    351,075x = 756,225 × 756,225
  4. Step 4: Simplify right side
    351,075x = 571,876,250,625
  5. Step 5: Solve for x
    x = 571,876,250,625/351,075
  6. Step 6: Final answer
    x = 1,628,929.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.