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Finding the Third Proportional to 229,478 and 497,092

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Solution

The third proportional to 229,478 and 497,092 is: 1,076,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,478 : 497,092 = 497,092 : x
  2. Step 2: Convert to fraction form
    229,478/497,092 = 497,092/x
  3. Step 3: Cross multiply
    229,478x = 497,092 × 497,092
  4. Step 4: Simplify right side
    229,478x = 247,100,456,464
  5. Step 5: Solve for x
    x = 247,100,456,464/229,478
  6. Step 6: Final answer
    x = 1,076,793.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.