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Finding the Third Proportional to 383,505 and 834,347

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Solution

The third proportional to 383,505 and 834,347 is: 1,815,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,505 : 834,347 = 834,347 : x
  2. Step 2: Convert to fraction form
    383,505/834,347 = 834,347/x
  3. Step 3: Cross multiply
    383,505x = 834,347 × 834,347
  4. Step 4: Simplify right side
    383,505x = 696,134,916,409
  5. Step 5: Solve for x
    x = 696,134,916,409/383,505
  6. Step 6: Final answer
    x = 1,815,191.24

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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.