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Finding the Third Proportional to 328,086.50 and 682,362

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Solution

The third proportional to 328,086.50 and 682,362 is: 1,419,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,086.50 : 682,362 = 682,362 : x
  2. Step 2: Convert to fraction form
    328,086.50/682,362 = 682,362/x
  3. Step 3: Cross multiply
    328,086.50x = 682,362 × 682,362
  4. Step 4: Simplify right side
    328,086.50x = 465,617,899,044
  5. Step 5: Solve for x
    x = 465,617,899,044/328,086.50
  6. Step 6: Final answer
    x = 1,419,192.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.