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Finding the Third Proportional to 382,692 and 834,276

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Solution

The third proportional to 382,692 and 834,276 is: 1,818,737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,692 : 834,276 = 834,276 : x
  2. Step 2: Convert to fraction form
    382,692/834,276 = 834,276/x
  3. Step 3: Cross multiply
    382,692x = 834,276 × 834,276
  4. Step 4: Simplify right side
    382,692x = 696,016,444,176
  5. Step 5: Solve for x
    x = 696,016,444,176/382,692
  6. Step 6: Final answer
    x = 1,818,737.90

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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.