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Finding the Third Proportional to 351,075 and 756,226.50

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Solution

The third proportional to 351,075 and 756,226.50 is: 1,628,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,075 : 756,226.50 = 756,226.50 : x
  2. Step 2: Convert to fraction form
    351,075/756,226.50 = 756,226.50/x
  3. Step 3: Cross multiply
    351,075x = 756,226.50 × 756,226.50
  4. Step 4: Simplify right side
    351,075x = 571,878,519,302.25
  5. Step 5: Solve for x
    x = 571,878,519,302.25/351,075
  6. Step 6: Final answer
    x = 1,628,935.47

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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.