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Finding the Third Proportional to 407,085.75 and 858,762

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Solution

The third proportional to 407,085.75 and 858,762 is: 1,811,589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,085.75 : 858,762 = 858,762 : x
  2. Step 2: Convert to fraction form
    407,085.75/858,762 = 858,762/x
  3. Step 3: Cross multiply
    407,085.75x = 858,762 × 858,762
  4. Step 4: Simplify right side
    407,085.75x = 737,472,172,644
  5. Step 5: Solve for x
    x = 737,472,172,644/407,085.75
  6. Step 6: Final answer
    x = 1,811,589.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.