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Finding the Third Proportional to 246,042 and 534,730

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Solution

The third proportional to 246,042 and 534,730 is: 1,162,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,042 : 534,730 = 534,730 : x
  2. Step 2: Convert to fraction form
    246,042/534,730 = 534,730/x
  3. Step 3: Cross multiply
    246,042x = 534,730 × 534,730
  4. Step 4: Simplify right side
    246,042x = 285,936,172,900
  5. Step 5: Solve for x
    x = 285,936,172,900/246,042
  6. Step 6: Final answer
    x = 1,162,143.75

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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.