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Finding the Third Proportional to 545,794 and 858,785

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Solution

The third proportional to 545,794 and 858,785 is: 1,351,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,794 : 858,785 = 858,785 : x
  2. Step 2: Convert to fraction form
    545,794/858,785 = 858,785/x
  3. Step 3: Cross multiply
    545,794x = 858,785 × 858,785
  4. Step 4: Simplify right side
    545,794x = 737,511,676,225
  5. Step 5: Solve for x
    x = 737,511,676,225/545,794
  6. Step 6: Final answer
    x = 1,351,263.80

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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.