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Finding the Third Proportional to 376,042.50 and 820,683

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Solution

The third proportional to 376,042.50 and 820,683 is: 1,791,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,042.50 : 820,683 = 820,683 : x
  2. Step 2: Convert to fraction form
    376,042.50/820,683 = 820,683/x
  3. Step 3: Cross multiply
    376,042.50x = 820,683 × 820,683
  4. Step 4: Simplify right side
    376,042.50x = 673,520,586,489
  5. Step 5: Solve for x
    x = 673,520,586,489/376,042.50
  6. Step 6: Final answer
    x = 1,791,075.71

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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.