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Finding the Third Proportional to 442,824 and 704,963.25

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Solution

The third proportional to 442,824 and 704,963.25 is: 1,122,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,824 : 704,963.25 = 704,963.25 : x
  2. Step 2: Convert to fraction form
    442,824/704,963.25 = 704,963.25/x
  3. Step 3: Cross multiply
    442,824x = 704,963.25 × 704,963.25
  4. Step 4: Simplify right side
    442,824x = 496,973,183,850.56
  5. Step 5: Solve for x
    x = 496,973,183,850.56/442,824
  6. Step 6: Final answer
    x = 1,122,281.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.