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Finding the Third Proportional to 194,724 and 418,530

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Solution

The third proportional to 194,724 and 418,530 is: 899,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,724 : 418,530 = 418,530 : x
  2. Step 2: Convert to fraction form
    194,724/418,530 = 418,530/x
  3. Step 3: Cross multiply
    194,724x = 418,530 × 418,530
  4. Step 4: Simplify right side
    194,724x = 175,167,360,900
  5. Step 5: Solve for x
    x = 175,167,360,900/194,724
  6. Step 6: Final answer
    x = 899,567.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.