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Finding the Third Proportional to 194,217 and 423,739

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Solution

The third proportional to 194,217 and 423,739 is: 924,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,217 : 423,739 = 423,739 : x
  2. Step 2: Convert to fraction form
    194,217/423,739 = 423,739/x
  3. Step 3: Cross multiply
    194,217x = 423,739 × 423,739
  4. Step 4: Simplify right side
    194,217x = 179,554,740,121
  5. Step 5: Solve for x
    x = 179,554,740,121/194,217
  6. Step 6: Final answer
    x = 924,505.79

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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.