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Finding the Third Proportional to 383,202 and 813,096

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Solution

The third proportional to 383,202 and 813,096 is: 1,725,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,202 : 813,096 = 813,096 : x
  2. Step 2: Convert to fraction form
    383,202/813,096 = 813,096/x
  3. Step 3: Cross multiply
    383,202x = 813,096 × 813,096
  4. Step 4: Simplify right side
    383,202x = 661,125,105,216
  5. Step 5: Solve for x
    x = 661,125,105,216/383,202
  6. Step 6: Final answer
    x = 1,725,265.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.