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Finding the Third Proportional to 327,478.50 and 492,430.50

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Solution

The third proportional to 327,478.50 and 492,430.50 is: 740,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,478.50 : 492,430.50 = 492,430.50 : x
  2. Step 2: Convert to fraction form
    327,478.50/492,430.50 = 492,430.50/x
  3. Step 3: Cross multiply
    327,478.50x = 492,430.50 × 492,430.50
  4. Step 4: Simplify right side
    327,478.50x = 242,487,797,330.25
  5. Step 5: Solve for x
    x = 242,487,797,330.25/327,478.50
  6. Step 6: Final answer
    x = 740,469.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.