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Finding the Third Proportional to 325,300.50 and 704,896.50

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Solution

The third proportional to 325,300.50 and 704,896.50 is: 1,527,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,300.50 : 704,896.50 = 704,896.50 : x
  2. Step 2: Convert to fraction form
    325,300.50/704,896.50 = 704,896.50/x
  3. Step 3: Cross multiply
    325,300.50x = 704,896.50 × 704,896.50
  4. Step 4: Simplify right side
    325,300.50x = 496,879,075,712.25
  5. Step 5: Solve for x
    x = 496,879,075,712.25/325,300.50
  6. Step 6: Final answer
    x = 1,527,446.39

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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.