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Finding the Third Proportional to 376,561.50 and 819,564

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Solution

The third proportional to 376,561.50 and 819,564 is: 1,783,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,561.50 : 819,564 = 819,564 : x
  2. Step 2: Convert to fraction form
    376,561.50/819,564 = 819,564/x
  3. Step 3: Cross multiply
    376,561.50x = 819,564 × 819,564
  4. Step 4: Simplify right side
    376,561.50x = 671,685,150,096
  5. Step 5: Solve for x
    x = 671,685,150,096/376,561.50
  6. Step 6: Final answer
    x = 1,783,732.94

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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.