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Finding the Third Proportional to 229,992 and 502,896

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Solution

The third proportional to 229,992 and 502,896 is: 1,099,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,992 : 502,896 = 502,896 : x
  2. Step 2: Convert to fraction form
    229,992/502,896 = 502,896/x
  3. Step 3: Cross multiply
    229,992x = 502,896 × 502,896
  4. Step 4: Simplify right side
    229,992x = 252,904,386,816
  5. Step 5: Solve for x
    x = 252,904,386,816/229,992
  6. Step 6: Final answer
    x = 1,099,622.54

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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.