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Finding the Third Proportional to 321,174.50 and 691,678

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Solution

The third proportional to 321,174.50 and 691,678 is: 1,489,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,174.50 : 691,678 = 691,678 : x
  2. Step 2: Convert to fraction form
    321,174.50/691,678 = 691,678/x
  3. Step 3: Cross multiply
    321,174.50x = 691,678 × 691,678
  4. Step 4: Simplify right side
    321,174.50x = 478,418,455,684
  5. Step 5: Solve for x
    x = 478,418,455,684/321,174.50
  6. Step 6: Final answer
    x = 1,489,590.41

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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.