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Finding the Third Proportional to 435,924.09 and 923,705.91

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Solution

The third proportional to 435,924.09 and 923,705.91 is: 1,957,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,924.09 : 923,705.91 = 923,705.91 : x
  2. Step 2: Convert to fraction form
    435,924.09/923,705.91 = 923,705.91/x
  3. Step 3: Cross multiply
    435,924.09x = 923,705.91 × 923,705.91
  4. Step 4: Simplify right side
    435,924.09x = 853,232,601,241.13
  5. Step 5: Solve for x
    x = 853,232,601,241.13/435,924.09
  6. Step 6: Final answer
    x = 1,957,296.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.