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Finding the Third Proportional to 229,182 and 502,608

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Solution

The third proportional to 229,182 and 502,608 is: 1,102,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,182 : 502,608 = 502,608 : x
  2. Step 2: Convert to fraction form
    229,182/502,608 = 502,608/x
  3. Step 3: Cross multiply
    229,182x = 502,608 × 502,608
  4. Step 4: Simplify right side
    229,182x = 252,614,801,664
  5. Step 5: Solve for x
    x = 252,614,801,664/229,182
  6. Step 6: Final answer
    x = 1,102,245.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.