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Finding the Third Proportional to 183,048 and 427,632

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Solution

The third proportional to 183,048 and 427,632 is: 999,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,048 : 427,632 = 427,632 : x
  2. Step 2: Convert to fraction form
    183,048/427,632 = 427,632/x
  3. Step 3: Cross multiply
    183,048x = 427,632 × 427,632
  4. Step 4: Simplify right side
    183,048x = 182,869,127,424
  5. Step 5: Solve for x
    x = 182,869,127,424/183,048
  6. Step 6: Final answer
    x = 999,022.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.