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Finding the Third Proportional to 545,761.13 and 858,738.38

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Solution

The third proportional to 545,761.13 and 858,738.38 is: 1,351,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,761.13 : 858,738.38 = 858,738.38 : x
  2. Step 2: Convert to fraction form
    545,761.13/858,738.38 = 858,738.38/x
  3. Step 3: Cross multiply
    545,761.13x = 858,738.38 × 858,738.38
  4. Step 4: Simplify right side
    545,761.13x = 737,431,596,697.64
  5. Step 5: Solve for x
    x = 737,431,596,697.64/545,761.13
  6. Step 6: Final answer
    x = 1,351,198.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.