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Finding the Third Proportional to 543,264.75 and 737,826.75

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Solution

The third proportional to 543,264.75 and 737,826.75 is: 1,002,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,264.75 : 737,826.75 = 737,826.75 : x
  2. Step 2: Convert to fraction form
    543,264.75/737,826.75 = 737,826.75/x
  3. Step 3: Cross multiply
    543,264.75x = 737,826.75 × 737,826.75
  4. Step 4: Simplify right side
    543,264.75x = 544,388,313,015.56
  5. Step 5: Solve for x
    x = 544,388,313,015.56/543,264.75
  6. Step 6: Final answer
    x = 1,002,068.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.