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Finding the Third Proportional to 303,475.50 and 437,170.50

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Solution

The third proportional to 303,475.50 and 437,170.50 is: 629,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,475.50 : 437,170.50 = 437,170.50 : x
  2. Step 2: Convert to fraction form
    303,475.50/437,170.50 = 437,170.50/x
  3. Step 3: Cross multiply
    303,475.50x = 437,170.50 × 437,170.50
  4. Step 4: Simplify right side
    303,475.50x = 191,118,046,070.25
  5. Step 5: Solve for x
    x = 191,118,046,070.25/303,475.50
  6. Step 6: Final answer
    x = 629,764.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.