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Finding the Third Proportional to 194,472 and 424,936

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Solution

The third proportional to 194,472 and 424,936 is: 928,517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,472 : 424,936 = 424,936 : x
  2. Step 2: Convert to fraction form
    194,472/424,936 = 424,936/x
  3. Step 3: Cross multiply
    194,472x = 424,936 × 424,936
  4. Step 4: Simplify right side
    194,472x = 180,570,604,096
  5. Step 5: Solve for x
    x = 180,570,604,096/194,472
  6. Step 6: Final answer
    x = 928,517.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.