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Finding the Third Proportional to 589,696 and 883,632

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Solution

The third proportional to 589,696 and 883,632 is: 1,324,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,696 : 883,632 = 883,632 : x
  2. Step 2: Convert to fraction form
    589,696/883,632 = 883,632/x
  3. Step 3: Cross multiply
    589,696x = 883,632 × 883,632
  4. Step 4: Simplify right side
    589,696x = 780,805,511,424
  5. Step 5: Solve for x
    x = 780,805,511,424/589,696
  6. Step 6: Final answer
    x = 1,324,081.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.