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Finding the Third Proportional to 321,943.50 and 512,467.50

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Solution

The third proportional to 321,943.50 and 512,467.50 is: 815,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,943.50 : 512,467.50 = 512,467.50 : x
  2. Step 2: Convert to fraction form
    321,943.50/512,467.50 = 512,467.50/x
  3. Step 3: Cross multiply
    321,943.50x = 512,467.50 × 512,467.50
  4. Step 4: Simplify right side
    321,943.50x = 262,622,938,556.25
  5. Step 5: Solve for x
    x = 262,622,938,556.25/321,943.50
  6. Step 6: Final answer
    x = 815,742.32

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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.