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Finding the Third Proportional to 392,254 and 606,132

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Solution

The third proportional to 392,254 and 606,132 is: 936,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,254 : 606,132 = 606,132 : x
  2. Step 2: Convert to fraction form
    392,254/606,132 = 606,132/x
  3. Step 3: Cross multiply
    392,254x = 606,132 × 606,132
  4. Step 4: Simplify right side
    392,254x = 367,396,001,424
  5. Step 5: Solve for x
    x = 367,396,001,424/392,254
  6. Step 6: Final answer
    x = 936,627.80

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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.