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Finding the Third Proportional to 327,142.50 and 492,352.50

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Solution

The third proportional to 327,142.50 and 492,352.50 is: 740,995.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,142.50 : 492,352.50 = 492,352.50 : x
  2. Step 2: Convert to fraction form
    327,142.50/492,352.50 = 492,352.50/x
  3. Step 3: Cross multiply
    327,142.50x = 492,352.50 × 492,352.50
  4. Step 4: Simplify right side
    327,142.50x = 242,410,984,256.25
  5. Step 5: Solve for x
    x = 242,410,984,256.25/327,142.50
  6. Step 6: Final answer
    x = 740,995.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.