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Finding the Third Proportional to 392,305.25 and 606,202

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Solution

The third proportional to 392,305.25 and 606,202 is: 936,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,305.25 : 606,202 = 606,202 : x
  2. Step 2: Convert to fraction form
    392,305.25/606,202 = 606,202/x
  3. Step 3: Cross multiply
    392,305.25x = 606,202 × 606,202
  4. Step 4: Simplify right side
    392,305.25x = 367,480,864,804
  5. Step 5: Solve for x
    x = 367,480,864,804/392,305.25
  6. Step 6: Final answer
    x = 936,721.76

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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.