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Finding the Third Proportional to 543,512.25 and 738,075.38

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Solution

The third proportional to 543,512.25 and 738,075.38 is: 1,002,286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,512.25 : 738,075.38 = 738,075.38 : x
  2. Step 2: Convert to fraction form
    543,512.25/738,075.38 = 738,075.38/x
  3. Step 3: Cross multiply
    543,512.25x = 738,075.38 × 738,075.38
  4. Step 4: Simplify right side
    543,512.25x = 544,755,259,181.39
  5. Step 5: Solve for x
    x = 544,755,259,181.39/543,512.25
  6. Step 6: Final answer
    x = 1,002,286.99

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.