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Finding the Third Proportional to 363,075 and 532,947

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Solution

The third proportional to 363,075 and 532,947 is: 782,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,075 : 532,947 = 532,947 : x
  2. Step 2: Convert to fraction form
    363,075/532,947 = 532,947/x
  3. Step 3: Cross multiply
    363,075x = 532,947 × 532,947
  4. Step 4: Simplify right side
    363,075x = 284,032,504,809
  5. Step 5: Solve for x
    x = 284,032,504,809/363,075
  6. Step 6: Final answer
    x = 782,297.06

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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.