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Finding the Third Proportional to 303,534 and 437,251.50

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Solution

The third proportional to 303,534 and 437,251.50 is: 629,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,534 : 437,251.50 = 437,251.50 : x
  2. Step 2: Convert to fraction form
    303,534/437,251.50 = 437,251.50/x
  3. Step 3: Cross multiply
    303,534x = 437,251.50 × 437,251.50
  4. Step 4: Simplify right side
    303,534x = 191,188,874,252.25
  5. Step 5: Solve for x
    x = 191,188,874,252.25/303,534
  6. Step 6: Final answer
    x = 629,876.30

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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.