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Finding the Third Proportional to 394,416 and 563,964.19

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Solution

The third proportional to 394,416 and 563,964.19 is: 806,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,416 : 563,964.19 = 563,964.19 : x
  2. Step 2: Convert to fraction form
    394,416/563,964.19 = 563,964.19/x
  3. Step 3: Cross multiply
    394,416x = 563,964.19 × 563,964.19
  4. Step 4: Simplify right side
    394,416x = 318,055,604,782.54
  5. Step 5: Solve for x
    x = 318,055,604,782.54/394,416
  6. Step 6: Final answer
    x = 806,396.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.