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Finding the Third Proportional to 541,015 and 844,276

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Solution

The third proportional to 541,015 and 844,276 is: 1,317,527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,015 : 844,276 = 844,276 : x
  2. Step 2: Convert to fraction form
    541,015/844,276 = 844,276/x
  3. Step 3: Cross multiply
    541,015x = 844,276 × 844,276
  4. Step 4: Simplify right side
    541,015x = 712,801,964,176
  5. Step 5: Solve for x
    x = 712,801,964,176/541,015
  6. Step 6: Final answer
    x = 1,317,527.17

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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.