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Finding the Third Proportional to 332,532 and 509,976

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Solution

The third proportional to 332,532 and 509,976 is: 782,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,532 : 509,976 = 509,976 : x
  2. Step 2: Convert to fraction form
    332,532/509,976 = 509,976/x
  3. Step 3: Cross multiply
    332,532x = 509,976 × 509,976
  4. Step 4: Simplify right side
    332,532x = 260,075,520,576
  5. Step 5: Solve for x
    x = 260,075,520,576/332,532
  6. Step 6: Final answer
    x = 782,106.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.