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Finding the Third Proportional to 392,924.25 and 859,406.63

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Solution

The third proportional to 392,924.25 and 859,406.63 is: 1,879,700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,924.25 : 859,406.63 = 859,406.63 : x
  2. Step 2: Convert to fraction form
    392,924.25/859,406.63 = 859,406.63/x
  3. Step 3: Cross multiply
    392,924.25x = 859,406.63 × 859,406.63
  4. Step 4: Simplify right side
    392,924.25x = 738,579,747,093.89
  5. Step 5: Solve for x
    x = 738,579,747,093.89/392,924.25
  6. Step 6: Final answer
    x = 1,879,700.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.