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Finding the Third Proportional to 376,969.50 and 819,387

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Solution

The third proportional to 376,969.50 and 819,387 is: 1,781,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,969.50 : 819,387 = 819,387 : x
  2. Step 2: Convert to fraction form
    376,969.50/819,387 = 819,387/x
  3. Step 3: Cross multiply
    376,969.50x = 819,387 × 819,387
  4. Step 4: Simplify right side
    376,969.50x = 671,395,055,769
  5. Step 5: Solve for x
    x = 671,395,055,769/376,969.50
  6. Step 6: Final answer
    x = 1,781,032.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.