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Finding the Third Proportional to 362,581.50 and 768,387

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Solution

The third proportional to 362,581.50 and 768,387 is: 1,628,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,581.50 : 768,387 = 768,387 : x
  2. Step 2: Convert to fraction form
    362,581.50/768,387 = 768,387/x
  3. Step 3: Cross multiply
    362,581.50x = 768,387 × 768,387
  4. Step 4: Simplify right side
    362,581.50x = 590,418,581,769
  5. Step 5: Solve for x
    x = 590,418,581,769/362,581.50
  6. Step 6: Final answer
    x = 1,628,374.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.