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Finding the Third Proportional to 250,004 and 547,496

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Solution

The third proportional to 250,004 and 547,496 is: 1,198,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,004 : 547,496 = 547,496 : x
  2. Step 2: Convert to fraction form
    250,004/547,496 = 547,496/x
  3. Step 3: Cross multiply
    250,004x = 547,496 × 547,496
  4. Step 4: Simplify right side
    250,004x = 299,751,870,016
  5. Step 5: Solve for x
    x = 299,751,870,016/250,004
  6. Step 6: Final answer
    x = 1,198,988.30

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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.