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Finding the Third Proportional to 281,224 and 401,864

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Solution

The third proportional to 281,224 and 401,864 is: 574,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,224 : 401,864 = 401,864 : x
  2. Step 2: Convert to fraction form
    281,224/401,864 = 401,864/x
  3. Step 3: Cross multiply
    281,224x = 401,864 × 401,864
  4. Step 4: Simplify right side
    281,224x = 161,494,674,496
  5. Step 5: Solve for x
    x = 161,494,674,496/281,224
  6. Step 6: Final answer
    x = 574,256.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.