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Finding the Third Proportional to 189,064 and 412,472

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Solution

The third proportional to 189,064 and 412,472 is: 899,870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064 : 412,472 = 412,472 : x
  2. Step 2: Convert to fraction form
    189,064/412,472 = 412,472/x
  3. Step 3: Cross multiply
    189,064x = 412,472 × 412,472
  4. Step 4: Simplify right side
    189,064x = 170,133,150,784
  5. Step 5: Solve for x
    x = 170,133,150,784/189,064
  6. Step 6: Final answer
    x = 899,870.68

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Why These Related Problems?

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