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Finding the Third Proportional to 200,075 and 472,296

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Solution

The third proportional to 200,075 and 472,296 is: 1,114,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,075 : 472,296 = 472,296 : x
  2. Step 2: Convert to fraction form
    200,075/472,296 = 472,296/x
  3. Step 3: Cross multiply
    200,075x = 472,296 × 472,296
  4. Step 4: Simplify right side
    200,075x = 223,063,511,616
  5. Step 5: Solve for x
    x = 223,063,511,616/200,075
  6. Step 6: Final answer
    x = 1,114,899.47

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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.