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Finding the Third Proportional to 327,774.50 and 515,033.50

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Solution

The third proportional to 327,774.50 and 515,033.50 is: 809,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,774.50 : 515,033.50 = 515,033.50 : x
  2. Step 2: Convert to fraction form
    327,774.50/515,033.50 = 515,033.50/x
  3. Step 3: Cross multiply
    327,774.50x = 515,033.50 × 515,033.50
  4. Step 4: Simplify right side
    327,774.50x = 265,259,506,122.25
  5. Step 5: Solve for x
    x = 265,259,506,122.25/327,774.50
  6. Step 6: Final answer
    x = 809,274.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.