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Finding the Third Proportional to 394,313.06 and 590,803.88

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Solution

The third proportional to 394,313.06 and 590,803.88 is: 885,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,313.06 : 590,803.88 = 590,803.88 : x
  2. Step 2: Convert to fraction form
    394,313.06/590,803.88 = 590,803.88/x
  3. Step 3: Cross multiply
    394,313.06x = 590,803.88 × 590,803.88
  4. Step 4: Simplify right side
    394,313.06x = 349,049,218,715.02
  5. Step 5: Solve for x
    x = 349,049,218,715.02/394,313.06
  6. Step 6: Final answer
    x = 885,208.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.