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Finding the Third Proportional to 372,738.50 and 496,606.50

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Solution

The third proportional to 372,738.50 and 496,606.50 is: 661,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,738.50 : 496,606.50 = 496,606.50 : x
  2. Step 2: Convert to fraction form
    372,738.50/496,606.50 = 496,606.50/x
  3. Step 3: Cross multiply
    372,738.50x = 496,606.50 × 496,606.50
  4. Step 4: Simplify right side
    372,738.50x = 246,618,015,842.25
  5. Step 5: Solve for x
    x = 246,618,015,842.25/372,738.50
  6. Step 6: Final answer
    x = 661,638.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.