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Finding the Third Proportional to 189,487.13 and 409,029.75

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Solution

The third proportional to 189,487.13 and 409,029.75 is: 882,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,487.13 : 409,029.75 = 409,029.75 : x
  2. Step 2: Convert to fraction form
    189,487.13/409,029.75 = 409,029.75/x
  3. Step 3: Cross multiply
    189,487.13x = 409,029.75 × 409,029.75
  4. Step 4: Simplify right side
    189,487.13x = 167,305,336,385.06
  5. Step 5: Solve for x
    x = 167,305,336,385.06/189,487.13
  6. Step 6: Final answer
    x = 882,937.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.