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Finding the Third Proportional to 229,018.50 and 491,949

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Solution

The third proportional to 229,018.50 and 491,949 is: 1,056,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,018.50 : 491,949 = 491,949 : x
  2. Step 2: Convert to fraction form
    229,018.50/491,949 = 491,949/x
  3. Step 3: Cross multiply
    229,018.50x = 491,949 × 491,949
  4. Step 4: Simplify right side
    229,018.50x = 242,013,818,601
  5. Step 5: Solve for x
    x = 242,013,818,601/229,018.50
  6. Step 6: Final answer
    x = 1,056,743.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.