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Finding the Third Proportional to 321,592.50 and 678,863.25

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Solution

The third proportional to 321,592.50 and 678,863.25 is: 1,433,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,592.50 : 678,863.25 = 678,863.25 : x
  2. Step 2: Convert to fraction form
    321,592.50/678,863.25 = 678,863.25/x
  3. Step 3: Cross multiply
    321,592.50x = 678,863.25 × 678,863.25
  4. Step 4: Simplify right side
    321,592.50x = 460,855,312,200.56
  5. Step 5: Solve for x
    x = 460,855,312,200.56/321,592.50
  6. Step 6: Final answer
    x = 1,433,041.23

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.