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Finding the Third Proportional to 250,704 and 547,488

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Solution

The third proportional to 250,704 and 547,488 is: 1,195,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,704 : 547,488 = 547,488 : x
  2. Step 2: Convert to fraction form
    250,704/547,488 = 547,488/x
  3. Step 3: Cross multiply
    250,704x = 547,488 × 547,488
  4. Step 4: Simplify right side
    250,704x = 299,743,110,144
  5. Step 5: Solve for x
    x = 299,743,110,144/250,704
  6. Step 6: Final answer
    x = 1,195,605.62

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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.