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Finding the Third Proportional to 383,524 and 834,196

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Solution

The third proportional to 383,524 and 834,196 is: 1,814,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,524 : 834,196 = 834,196 : x
  2. Step 2: Convert to fraction form
    383,524/834,196 = 834,196/x
  3. Step 3: Cross multiply
    383,524x = 834,196 × 834,196
  4. Step 4: Simplify right side
    383,524x = 695,882,966,416
  5. Step 5: Solve for x
    x = 695,882,966,416/383,524
  6. Step 6: Final answer
    x = 1,814,444.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.