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Finding the Third Proportional to 252,075 and 550,374

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Solution

The third proportional to 252,075 and 550,374 is: 1,201,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,075 : 550,374 = 550,374 : x
  2. Step 2: Convert to fraction form
    252,075/550,374 = 550,374/x
  3. Step 3: Cross multiply
    252,075x = 550,374 × 550,374
  4. Step 4: Simplify right side
    252,075x = 302,911,539,876
  5. Step 5: Solve for x
    x = 302,911,539,876/252,075
  6. Step 6: Final answer
    x = 1,201,672.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.