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Finding the Third Proportional to 376,531 and 827,693

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Solution

The third proportional to 376,531 and 827,693 is: 1,819,440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,531 : 827,693 = 827,693 : x
  2. Step 2: Convert to fraction form
    376,531/827,693 = 827,693/x
  3. Step 3: Cross multiply
    376,531x = 827,693 × 827,693
  4. Step 4: Simplify right side
    376,531x = 685,075,702,249
  5. Step 5: Solve for x
    x = 685,075,702,249/376,531
  6. Step 6: Final answer
    x = 1,819,440.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.