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Finding the Third Proportional to 541,015.13 and 844,276.50

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Solution

The third proportional to 541,015.13 and 844,276.50 is: 1,317,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,015.13 : 844,276.50 = 844,276.50 : x
  2. Step 2: Convert to fraction form
    541,015.13/844,276.50 = 844,276.50/x
  3. Step 3: Cross multiply
    541,015.13x = 844,276.50 × 844,276.50
  4. Step 4: Simplify right side
    541,015.13x = 712,802,808,452.25
  5. Step 5: Solve for x
    x = 712,802,808,452.25/541,015.13
  6. Step 6: Final answer
    x = 1,317,528.43

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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.