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Finding the Third Proportional to 194,218 and 423,744

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Solution

The third proportional to 194,218 and 423,744 is: 924,522.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,218 : 423,744 = 423,744 : x
  2. Step 2: Convert to fraction form
    194,218/423,744 = 423,744/x
  3. Step 3: Cross multiply
    194,218x = 423,744 × 423,744
  4. Step 4: Simplify right side
    194,218x = 179,558,977,536
  5. Step 5: Solve for x
    x = 179,558,977,536/194,218
  6. Step 6: Final answer
    x = 924,522.84

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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.