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Finding the Third Proportional to 327,232 and 480,075

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Solution

The third proportional to 327,232 and 480,075 is: 704,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,232 : 480,075 = 480,075 : x
  2. Step 2: Convert to fraction form
    327,232/480,075 = 480,075/x
  3. Step 3: Cross multiply
    327,232x = 480,075 × 480,075
  4. Step 4: Simplify right side
    327,232x = 230,472,005,625
  5. Step 5: Solve for x
    x = 230,472,005,625/327,232
  6. Step 6: Final answer
    x = 704,307.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.