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Finding the Third Proportional to 372,709.50 and 496,568.25

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Solution

The third proportional to 372,709.50 and 496,568.25 is: 661,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,709.50 : 496,568.25 = 496,568.25 : x
  2. Step 2: Convert to fraction form
    372,709.50/496,568.25 = 496,568.25/x
  3. Step 3: Cross multiply
    372,709.50x = 496,568.25 × 496,568.25
  4. Step 4: Simplify right side
    372,709.50x = 246,580,026,908.06
  5. Step 5: Solve for x
    x = 246,580,026,908.06/372,709.50
  6. Step 6: Final answer
    x = 661,587.72

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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.