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Finding the Third Proportional to 270,924 and 421,896

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Solution

The third proportional to 270,924 and 421,896 is: 656,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,924 : 421,896 = 421,896 : x
  2. Step 2: Convert to fraction form
    270,924/421,896 = 421,896/x
  3. Step 3: Cross multiply
    270,924x = 421,896 × 421,896
  4. Step 4: Simplify right side
    270,924x = 177,996,234,816
  5. Step 5: Solve for x
    x = 177,996,234,816/270,924
  6. Step 6: Final answer
    x = 656,996.92

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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.