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Finding the Third Proportional to 229,056 and 502,230

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Solution

The third proportional to 229,056 and 502,230 is: 1,101,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,056 : 502,230 = 502,230 : x
  2. Step 2: Convert to fraction form
    229,056/502,230 = 502,230/x
  3. Step 3: Cross multiply
    229,056x = 502,230 × 502,230
  4. Step 4: Simplify right side
    229,056x = 252,234,972,900
  5. Step 5: Solve for x
    x = 252,234,972,900/229,056
  6. Step 6: Final answer
    x = 1,101,193.48

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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.