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Finding the Third Proportional to 259,075 and 610,702

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Solution

The third proportional to 259,075 and 610,702 is: 1,439,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,075 : 610,702 = 610,702 : x
  2. Step 2: Convert to fraction form
    259,075/610,702 = 610,702/x
  3. Step 3: Cross multiply
    259,075x = 610,702 × 610,702
  4. Step 4: Simplify right side
    259,075x = 372,956,932,804
  5. Step 5: Solve for x
    x = 372,956,932,804/259,075
  6. Step 6: Final answer
    x = 1,439,571.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.