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Finding the Third Proportional to 230,004 and 504,288

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Solution

The third proportional to 230,004 and 504,288 is: 1,105,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,004 : 504,288 = 504,288 : x
  2. Step 2: Convert to fraction form
    230,004/504,288 = 504,288/x
  3. Step 3: Cross multiply
    230,004x = 504,288 × 504,288
  4. Step 4: Simplify right side
    230,004x = 254,306,386,944
  5. Step 5: Solve for x
    x = 254,306,386,944/230,004
  6. Step 6: Final answer
    x = 1,105,660.71

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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.