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Finding the Third Proportional to 327,190.50 and 692,105.63

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Solution

The third proportional to 327,190.50 and 692,105.63 is: 1,464,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,190.50 : 692,105.63 = 692,105.63 : x
  2. Step 2: Convert to fraction form
    327,190.50/692,105.63 = 692,105.63/x
  3. Step 3: Cross multiply
    327,190.50x = 692,105.63 × 692,105.63
  4. Step 4: Simplify right side
    327,190.50x = 479,010,196,156.64
  5. Step 5: Solve for x
    x = 479,010,196,156.64/327,190.50
  6. Step 6: Final answer
    x = 1,464,010.10

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.