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Finding the Third Proportional to 230,330 and 500,004

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Solution

The third proportional to 230,330 and 500,004 is: 1,085,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,330 : 500,004 = 500,004 : x
  2. Step 2: Convert to fraction form
    230,330/500,004 = 500,004/x
  3. Step 3: Cross multiply
    230,330x = 500,004 × 500,004
  4. Step 4: Simplify right side
    230,330x = 250,004,000,016
  5. Step 5: Solve for x
    x = 250,004,000,016/230,330
  6. Step 6: Final answer
    x = 1,085,416.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.