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Finding the Third Proportional to 332,758 and 543,306

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Solution

The third proportional to 332,758 and 543,306 is: 887,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,758 : 543,306 = 543,306 : x
  2. Step 2: Convert to fraction form
    332,758/543,306 = 543,306/x
  3. Step 3: Cross multiply
    332,758x = 543,306 × 543,306
  4. Step 4: Simplify right side
    332,758x = 295,181,409,636
  5. Step 5: Solve for x
    x = 295,181,409,636/332,758
  6. Step 6: Final answer
    x = 887,075.32

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.