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Finding the Third Proportional to 564,450.75 and 804,634.75

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Solution

The third proportional to 564,450.75 and 804,634.75 is: 1,147,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,450.75 : 804,634.75 = 804,634.75 : x
  2. Step 2: Convert to fraction form
    564,450.75/804,634.75 = 804,634.75/x
  3. Step 3: Cross multiply
    564,450.75x = 804,634.75 × 804,634.75
  4. Step 4: Simplify right side
    564,450.75x = 647,437,080,907.56
  5. Step 5: Solve for x
    x = 647,437,080,907.56/564,450.75
  6. Step 6: Final answer
    x = 1,147,021.38

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.