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Finding the Third Proportional to 392,304.75 and 606,201.25

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Solution

The third proportional to 392,304.75 and 606,201.25 is: 936,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,304.75 : 606,201.25 = 606,201.25 : x
  2. Step 2: Convert to fraction form
    392,304.75/606,201.25 = 606,201.25/x
  3. Step 3: Cross multiply
    392,304.75x = 606,201.25 × 606,201.25
  4. Step 4: Simplify right side
    392,304.75x = 367,479,955,501.56
  5. Step 5: Solve for x
    x = 367,479,955,501.56/392,304.75
  6. Step 6: Final answer
    x = 936,720.64

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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.