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Finding the Third Proportional to 265,864 and 408,654

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Solution

The third proportional to 265,864 and 408,654 is: 628,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,864 : 408,654 = 408,654 : x
  2. Step 2: Convert to fraction form
    265,864/408,654 = 408,654/x
  3. Step 3: Cross multiply
    265,864x = 408,654 × 408,654
  4. Step 4: Simplify right side
    265,864x = 166,998,091,716
  5. Step 5: Solve for x
    x = 166,998,091,716/265,864
  6. Step 6: Final answer
    x = 628,133.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.