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Finding the Third Proportional to 246,084 and 534,856

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Solution

The third proportional to 246,084 and 534,856 is: 1,162,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,084 : 534,856 = 534,856 : x
  2. Step 2: Convert to fraction form
    246,084/534,856 = 534,856/x
  3. Step 3: Cross multiply
    246,084x = 534,856 × 534,856
  4. Step 4: Simplify right side
    246,084x = 286,070,940,736
  5. Step 5: Solve for x
    x = 286,070,940,736/246,084
  6. Step 6: Final answer
    x = 1,162,493.05

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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.