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Finding the Third Proportional to 229,664 and 487,125

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Solution

The third proportional to 229,664 and 487,125 is: 1,033,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,664 : 487,125 = 487,125 : x
  2. Step 2: Convert to fraction form
    229,664/487,125 = 487,125/x
  3. Step 3: Cross multiply
    229,664x = 487,125 × 487,125
  4. Step 4: Simplify right side
    229,664x = 237,290,765,625
  5. Step 5: Solve for x
    x = 237,290,765,625/229,664
  6. Step 6: Final answer
    x = 1,033,208.36

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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.