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Finding the Third Proportional to 436,794.75 and 894,762

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Solution

The third proportional to 436,794.75 and 894,762 is: 1,832,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,794.75 : 894,762 = 894,762 : x
  2. Step 2: Convert to fraction form
    436,794.75/894,762 = 894,762/x
  3. Step 3: Cross multiply
    436,794.75x = 894,762 × 894,762
  4. Step 4: Simplify right side
    436,794.75x = 800,599,036,644
  5. Step 5: Solve for x
    x = 800,599,036,644/436,794.75
  6. Step 6: Final answer
    x = 1,832,895.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.