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Finding the Third Proportional to 406,515.38 and 858,816

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Solution

The third proportional to 406,515.38 and 858,816 is: 1,814,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,515.38 : 858,816 = 858,816 : x
  2. Step 2: Convert to fraction form
    406,515.38/858,816 = 858,816/x
  3. Step 3: Cross multiply
    406,515.38x = 858,816 × 858,816
  4. Step 4: Simplify right side
    406,515.38x = 737,564,921,856
  5. Step 5: Solve for x
    x = 737,564,921,856/406,515.38
  6. Step 6: Final answer
    x = 1,814,359.23

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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.