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Finding the Third Proportional to 392,896.13 and 581,977.69

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Solution

The third proportional to 392,896.13 and 581,977.69 is: 862,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,896.13 : 581,977.69 = 581,977.69 : x
  2. Step 2: Convert to fraction form
    392,896.13/581,977.69 = 581,977.69/x
  3. Step 3: Cross multiply
    392,896.13x = 581,977.69 × 581,977.69
  4. Step 4: Simplify right side
    392,896.13x = 338,698,028,747.85
  5. Step 5: Solve for x
    x = 338,698,028,747.85/392,896.13
  6. Step 6: Final answer
    x = 862,054.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.