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Finding the Third Proportional to 392,314.75 and 606,216

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Solution

The third proportional to 392,314.75 and 606,216 is: 936,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,314.75 : 606,216 = 606,216 : x
  2. Step 2: Convert to fraction form
    392,314.75/606,216 = 606,216/x
  3. Step 3: Cross multiply
    392,314.75x = 606,216 × 606,216
  4. Step 4: Simplify right side
    392,314.75x = 367,497,838,656
  5. Step 5: Solve for x
    x = 367,497,838,656/392,314.75
  6. Step 6: Final answer
    x = 936,742.34

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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.