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Finding the Third Proportional to 436,799.25 and 894,771

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Solution

The third proportional to 436,799.25 and 894,771 is: 1,832,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,799.25 : 894,771 = 894,771 : x
  2. Step 2: Convert to fraction form
    436,799.25/894,771 = 894,771/x
  3. Step 3: Cross multiply
    436,799.25x = 894,771 × 894,771
  4. Step 4: Simplify right side
    436,799.25x = 800,615,142,441
  5. Step 5: Solve for x
    x = 800,615,142,441/436,799.25
  6. Step 6: Final answer
    x = 1,832,913.27

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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.