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Finding the Third Proportional to 229,204 and 497,853

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Solution

The third proportional to 229,204 and 497,853 is: 1,081,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,204 : 497,853 = 497,853 : x
  2. Step 2: Convert to fraction form
    229,204/497,853 = 497,853/x
  3. Step 3: Cross multiply
    229,204x = 497,853 × 497,853
  4. Step 4: Simplify right side
    229,204x = 247,857,609,609
  5. Step 5: Solve for x
    x = 247,857,609,609/229,204
  6. Step 6: Final answer
    x = 1,081,384.31

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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.