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Finding the Third Proportional to 392,728.50 and 600,513.75

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Solution

The third proportional to 392,728.50 and 600,513.75 is: 918,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,728.50 : 600,513.75 = 600,513.75 : x
  2. Step 2: Convert to fraction form
    392,728.50/600,513.75 = 600,513.75/x
  3. Step 3: Cross multiply
    392,728.50x = 600,513.75 × 600,513.75
  4. Step 4: Simplify right side
    392,728.50x = 360,616,763,939.06
  5. Step 5: Solve for x
    x = 360,616,763,939.06/392,728.50
  6. Step 6: Final answer
    x = 918,234.26

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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.