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Finding the Third Proportional to 331,140 and 737,230

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Solution

The third proportional to 331,140 and 737,230 is: 1,641,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,140 : 737,230 = 737,230 : x
  2. Step 2: Convert to fraction form
    331,140/737,230 = 737,230/x
  3. Step 3: Cross multiply
    331,140x = 737,230 × 737,230
  4. Step 4: Simplify right side
    331,140x = 543,508,072,900
  5. Step 5: Solve for x
    x = 543,508,072,900/331,140
  6. Step 6: Final answer
    x = 1,641,324.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.