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Finding the Third Proportional to 246,120 and 534,928

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Solution

The third proportional to 246,120 and 534,928 is: 1,162,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,120 : 534,928 = 534,928 : x
  2. Step 2: Convert to fraction form
    246,120/534,928 = 534,928/x
  3. Step 3: Cross multiply
    246,120x = 534,928 × 534,928
  4. Step 4: Simplify right side
    246,120x = 286,147,965,184
  5. Step 5: Solve for x
    x = 286,147,965,184/246,120
  6. Step 6: Final answer
    x = 1,162,635.97

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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.