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Finding the Third Proportional to 229,244 and 497,873

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Solution

The third proportional to 229,244 and 497,873 is: 1,081,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,244 : 497,873 = 497,873 : x
  2. Step 2: Convert to fraction form
    229,244/497,873 = 497,873/x
  3. Step 3: Cross multiply
    229,244x = 497,873 × 497,873
  4. Step 4: Simplify right side
    229,244x = 247,877,524,129
  5. Step 5: Solve for x
    x = 247,877,524,129/229,244
  6. Step 6: Final answer
    x = 1,081,282.49

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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.