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Finding the Third Proportional to 196,644 and 426,588

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Solution

The third proportional to 196,644 and 426,588 is: 925,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,644 : 426,588 = 426,588 : x
  2. Step 2: Convert to fraction form
    196,644/426,588 = 426,588/x
  3. Step 3: Cross multiply
    196,644x = 426,588 × 426,588
  4. Step 4: Simplify right side
    196,644x = 181,977,321,744
  5. Step 5: Solve for x
    x = 181,977,321,744/196,644
  6. Step 6: Final answer
    x = 925,415.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.