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Finding the Third Proportional to 194,727 and 414,564

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Solution

The third proportional to 194,727 and 414,564 is: 882,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,727 : 414,564 = 414,564 : x
  2. Step 2: Convert to fraction form
    194,727/414,564 = 414,564/x
  3. Step 3: Cross multiply
    194,727x = 414,564 × 414,564
  4. Step 4: Simplify right side
    194,727x = 171,863,310,096
  5. Step 5: Solve for x
    x = 171,863,310,096/194,727
  6. Step 6: Final answer
    x = 882,585.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.