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Finding the Third Proportional to 229,736 and 487,304

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Solution

The third proportional to 229,736 and 487,304 is: 1,033,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,736 : 487,304 = 487,304 : x
  2. Step 2: Convert to fraction form
    229,736/487,304 = 487,304/x
  3. Step 3: Cross multiply
    229,736x = 487,304 × 487,304
  4. Step 4: Simplify right side
    229,736x = 237,465,188,416
  5. Step 5: Solve for x
    x = 237,465,188,416/229,736
  6. Step 6: Final answer
    x = 1,033,643.78

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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.