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Finding the Third Proportional to 229,736 and 486,748

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Solution

The third proportional to 229,736 and 486,748 is: 1,031,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,736 : 486,748 = 486,748 : x
  2. Step 2: Convert to fraction form
    229,736/486,748 = 486,748/x
  3. Step 3: Cross multiply
    229,736x = 486,748 × 486,748
  4. Step 4: Simplify right side
    229,736x = 236,923,615,504
  5. Step 5: Solve for x
    x = 236,923,615,504/229,736
  6. Step 6: Final answer
    x = 1,031,286.41

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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.