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Finding the Third Proportional to 324,598.50 and 690,669

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Solution

The third proportional to 324,598.50 and 690,669 is: 1,469,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,598.50 : 690,669 = 690,669 : x
  2. Step 2: Convert to fraction form
    324,598.50/690,669 = 690,669/x
  3. Step 3: Cross multiply
    324,598.50x = 690,669 × 690,669
  4. Step 4: Simplify right side
    324,598.50x = 477,023,667,561
  5. Step 5: Solve for x
    x = 477,023,667,561/324,598.50
  6. Step 6: Final answer
    x = 1,469,580.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.