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Finding the Third Proportional to 367,640 and 589,852

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Solution

The third proportional to 367,640 and 589,852 is: 946,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,640 : 589,852 = 589,852 : x
  2. Step 2: Convert to fraction form
    367,640/589,852 = 589,852/x
  3. Step 3: Cross multiply
    367,640x = 589,852 × 589,852
  4. Step 4: Simplify right side
    367,640x = 347,925,381,904
  5. Step 5: Solve for x
    x = 347,925,381,904/367,640
  6. Step 6: Final answer
    x = 946,375.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.