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Finding the Third Proportional to 392,744.63 and 600,529.88

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Solution

The third proportional to 392,744.63 and 600,529.88 is: 918,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,744.63 : 600,529.88 = 600,529.88 : x
  2. Step 2: Convert to fraction form
    392,744.63/600,529.88 = 600,529.88/x
  3. Step 3: Cross multiply
    392,744.63x = 600,529.88 × 600,529.88
  4. Step 4: Simplify right side
    392,744.63x = 360,636,130,767.52
  5. Step 5: Solve for x
    x = 360,636,130,767.52/392,744.63
  6. Step 6: Final answer
    x = 918,245.87

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Why These Related Problems?

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