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Finding the Third Proportional to 308,142 and 673,002

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Solution

The third proportional to 308,142 and 673,002 is: 1,469,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,142 : 673,002 = 673,002 : x
  2. Step 2: Convert to fraction form
    308,142/673,002 = 673,002/x
  3. Step 3: Cross multiply
    308,142x = 673,002 × 673,002
  4. Step 4: Simplify right side
    308,142x = 452,931,692,004
  5. Step 5: Solve for x
    x = 452,931,692,004/308,142
  6. Step 6: Final answer
    x = 1,469,879.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.