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Finding the Third Proportional to 392,046.75 and 576,586.69

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Solution

The third proportional to 392,046.75 and 576,586.69 is: 847,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,046.75 : 576,586.69 = 576,586.69 : x
  2. Step 2: Convert to fraction form
    392,046.75/576,586.69 = 576,586.69/x
  3. Step 3: Cross multiply
    392,046.75x = 576,586.69 × 576,586.69
  4. Step 4: Simplify right side
    392,046.75x = 332,452,208,202.22
  5. Step 5: Solve for x
    x = 332,452,208,202.22/392,046.75
  6. Step 6: Final answer
    x = 847,991.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.