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Finding the Third Proportional to 229,456 and 492,125

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Solution

The third proportional to 229,456 and 492,125 is: 1,055,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,456 : 492,125 = 492,125 : x
  2. Step 2: Convert to fraction form
    229,456/492,125 = 492,125/x
  3. Step 3: Cross multiply
    229,456x = 492,125 × 492,125
  4. Step 4: Simplify right side
    229,456x = 242,187,015,625
  5. Step 5: Solve for x
    x = 242,187,015,625/229,456
  6. Step 6: Final answer
    x = 1,055,483.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.