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Finding the Third Proportional to 394,762.04 and 564,527.92

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Solution

The third proportional to 394,762.04 and 564,527.92 is: 807,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,762.04 : 564,527.92 = 564,527.92 : x
  2. Step 2: Convert to fraction form
    394,762.04/564,527.92 = 564,527.92/x
  3. Step 3: Cross multiply
    394,762.04x = 564,527.92 × 564,527.92
  4. Step 4: Simplify right side
    394,762.04x = 318,691,770,166.14
  5. Step 5: Solve for x
    x = 318,691,770,166.14/394,762.04
  6. Step 6: Final answer
    x = 807,300.94

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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.