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Finding the Third Proportional to 325,296 and 704,895.75

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Solution

The third proportional to 325,296 and 704,895.75 is: 1,527,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,296 : 704,895.75 = 704,895.75 : x
  2. Step 2: Convert to fraction form
    325,296/704,895.75 = 704,895.75/x
  3. Step 3: Cross multiply
    325,296x = 704,895.75 × 704,895.75
  4. Step 4: Simplify right side
    325,296x = 496,878,018,368.06
  5. Step 5: Solve for x
    x = 496,878,018,368.06/325,296
  6. Step 6: Final answer
    x = 1,527,464.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.