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Finding the Third Proportional to 189,746 and 407,632

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Solution

The third proportional to 189,746 and 407,632 is: 875,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,746 : 407,632 = 407,632 : x
  2. Step 2: Convert to fraction form
    189,746/407,632 = 407,632/x
  3. Step 3: Cross multiply
    189,746x = 407,632 × 407,632
  4. Step 4: Simplify right side
    189,746x = 166,163,847,424
  5. Step 5: Solve for x
    x = 166,163,847,424/189,746
  6. Step 6: Final answer
    x = 875,717.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.