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Finding the Third Proportional to 253,112 and 534,684

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Solution

The third proportional to 253,112 and 534,684 is: 1,129,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,112 : 534,684 = 534,684 : x
  2. Step 2: Convert to fraction form
    253,112/534,684 = 534,684/x
  3. Step 3: Cross multiply
    253,112x = 534,684 × 534,684
  4. Step 4: Simplify right side
    253,112x = 285,886,979,856
  5. Step 5: Solve for x
    x = 285,886,979,856/253,112
  6. Step 6: Final answer
    x = 1,129,488.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.