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Finding the Third Proportional to 229,816 and 487,456

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Solution

The third proportional to 229,816 and 487,456 is: 1,033,928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,816 : 487,456 = 487,456 : x
  2. Step 2: Convert to fraction form
    229,816/487,456 = 487,456/x
  3. Step 3: Cross multiply
    229,816x = 487,456 × 487,456
  4. Step 4: Simplify right side
    229,816x = 237,613,351,936
  5. Step 5: Solve for x
    x = 237,613,351,936/229,816
  6. Step 6: Final answer
    x = 1,033,928.67

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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.