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Finding the Third Proportional to 270,922 and 421,894

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Solution

The third proportional to 270,922 and 421,894 is: 656,995.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,922 : 421,894 = 421,894 : x
  2. Step 2: Convert to fraction form
    270,922/421,894 = 421,894/x
  3. Step 3: Cross multiply
    270,922x = 421,894 × 421,894
  4. Step 4: Simplify right side
    270,922x = 177,994,547,236
  5. Step 5: Solve for x
    x = 177,994,547,236/270,922
  6. Step 6: Final answer
    x = 656,995.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.