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Finding the Third Proportional to 541,016.72 and 844,278.19

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Solution

The third proportional to 541,016.72 and 844,278.19 is: 1,317,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,016.72 : 844,278.19 = 844,278.19 : x
  2. Step 2: Convert to fraction form
    541,016.72/844,278.19 = 844,278.19/x
  3. Step 3: Cross multiply
    541,016.72x = 844,278.19 × 844,278.19
  4. Step 4: Simplify right side
    541,016.72x = 712,805,657,888.29
  5. Step 5: Solve for x
    x = 712,805,657,888.29/541,016.72
  6. Step 6: Final answer
    x = 1,317,529.82

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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.