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Finding the Third Proportional to 392,744.81 and 600,530.34

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Solution

The third proportional to 392,744.81 and 600,530.34 is: 918,246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,744.81 : 600,530.34 = 600,530.34 : x
  2. Step 2: Convert to fraction form
    392,744.81/600,530.34 = 600,530.34/x
  3. Step 3: Cross multiply
    392,744.81x = 600,530.34 × 600,530.34
  4. Step 4: Simplify right side
    392,744.81x = 360,636,693,764.49
  5. Step 5: Solve for x
    x = 360,636,693,764.49/392,744.81
  6. Step 6: Final answer
    x = 918,246.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.