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Finding the Third Proportional to 395,162 and 611,292

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Solution

The third proportional to 395,162 and 611,292 is: 945,632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,162 : 611,292 = 611,292 : x
  2. Step 2: Convert to fraction form
    395,162/611,292 = 611,292/x
  3. Step 3: Cross multiply
    395,162x = 611,292 × 611,292
  4. Step 4: Simplify right side
    395,162x = 373,677,909,264
  5. Step 5: Solve for x
    x = 373,677,909,264/395,162
  6. Step 6: Final answer
    x = 945,632.19

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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.