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Finding the Third Proportional to 331,107 and 692,193.38

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Solution

The third proportional to 331,107 and 692,193.38 is: 1,447,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,107 : 692,193.38 = 692,193.38 : x
  2. Step 2: Convert to fraction form
    331,107/692,193.38 = 692,193.38/x
  3. Step 3: Cross multiply
    331,107x = 692,193.38 × 692,193.38
  4. Step 4: Simplify right side
    331,107x = 479,131,668,393.89
  5. Step 5: Solve for x
    x = 479,131,668,393.89/331,107
  6. Step 6: Final answer
    x = 1,447,059.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.