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Finding the Third Proportional to 229,524 and 497,162

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Solution

The third proportional to 229,524 and 497,162 is: 1,076,881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,524 : 497,162 = 497,162 : x
  2. Step 2: Convert to fraction form
    229,524/497,162 = 497,162/x
  3. Step 3: Cross multiply
    229,524x = 497,162 × 497,162
  4. Step 4: Simplify right side
    229,524x = 247,170,054,244
  5. Step 5: Solve for x
    x = 247,170,054,244/229,524
  6. Step 6: Final answer
    x = 1,076,881.09

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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.