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Finding the Third Proportional to 382,083 and 589,164

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Solution

The third proportional to 382,083 and 589,164 is: 908,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,083 : 589,164 = 589,164 : x
  2. Step 2: Convert to fraction form
    382,083/589,164 = 589,164/x
  3. Step 3: Cross multiply
    382,083x = 589,164 × 589,164
  4. Step 4: Simplify right side
    382,083x = 347,114,218,896
  5. Step 5: Solve for x
    x = 347,114,218,896/382,083
  6. Step 6: Final answer
    x = 908,478.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.