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Finding the Third Proportional to 281,844 and 437,088

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Solution

The third proportional to 281,844 and 437,088 is: 677,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,844 : 437,088 = 437,088 : x
  2. Step 2: Convert to fraction form
    281,844/437,088 = 437,088/x
  3. Step 3: Cross multiply
    281,844x = 437,088 × 437,088
  4. Step 4: Simplify right side
    281,844x = 191,045,919,744
  5. Step 5: Solve for x
    x = 191,045,919,744/281,844
  6. Step 6: Final answer
    x = 677,842.78

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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.