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Finding the Third Proportional to 246,727.13 and 512,841.38

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Solution

The third proportional to 246,727.13 and 512,841.38 is: 1,065,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,727.13 : 512,841.38 = 512,841.38 : x
  2. Step 2: Convert to fraction form
    246,727.13/512,841.38 = 512,841.38/x
  3. Step 3: Cross multiply
    246,727.13x = 512,841.38 × 512,841.38
  4. Step 4: Simplify right side
    246,727.13x = 263,006,275,911.89
  5. Step 5: Solve for x
    x = 263,006,275,911.89/246,727.13
  6. Step 6: Final answer
    x = 1,065,980.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.