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Finding the Third Proportional to 189,676.13 and 412,817.63

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Solution

The third proportional to 189,676.13 and 412,817.63 is: 898,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,676.13 : 412,817.63 = 412,817.63 : x
  2. Step 2: Convert to fraction form
    189,676.13/412,817.63 = 412,817.63/x
  3. Step 3: Cross multiply
    189,676.13x = 412,817.63 × 412,817.63
  4. Step 4: Simplify right side
    189,676.13x = 170,418,391,510.64
  5. Step 5: Solve for x
    x = 170,418,391,510.64/189,676.13
  6. Step 6: Final answer
    x = 898,470.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.