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Finding the Third Proportional to 194,328 and 411,822

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Solution

The third proportional to 194,328 and 411,822 is: 872,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,328 : 411,822 = 411,822 : x
  2. Step 2: Convert to fraction form
    194,328/411,822 = 411,822/x
  3. Step 3: Cross multiply
    194,328x = 411,822 × 411,822
  4. Step 4: Simplify right side
    194,328x = 169,597,359,684
  5. Step 5: Solve for x
    x = 169,597,359,684/194,328
  6. Step 6: Final answer
    x = 872,737.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.