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Finding the Third Proportional to 194,584 and 427,478

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Solution

The third proportional to 194,584 and 427,478 is: 939,118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,584 : 427,478 = 427,478 : x
  2. Step 2: Convert to fraction form
    194,584/427,478 = 427,478/x
  3. Step 3: Cross multiply
    194,584x = 427,478 × 427,478
  4. Step 4: Simplify right side
    194,584x = 182,737,440,484
  5. Step 5: Solve for x
    x = 182,737,440,484/194,584
  6. Step 6: Final answer
    x = 939,118.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.