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Finding the Third Proportional to 392,322.75 and 606,231

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Solution

The third proportional to 392,322.75 and 606,231 is: 936,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,322.75 : 606,231 = 606,231 : x
  2. Step 2: Convert to fraction form
    392,322.75/606,231 = 606,231/x
  3. Step 3: Cross multiply
    392,322.75x = 606,231 × 606,231
  4. Step 4: Simplify right side
    392,322.75x = 367,516,025,361
  5. Step 5: Solve for x
    x = 367,516,025,361/392,322.75
  6. Step 6: Final answer
    x = 936,769.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.