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Finding the Third Proportional to 246,400 and 534,240

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Solution

The third proportional to 246,400 and 534,240 is: 1,158,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,400 : 534,240 = 534,240 : x
  2. Step 2: Convert to fraction form
    246,400/534,240 = 534,240/x
  3. Step 3: Cross multiply
    246,400x = 534,240 × 534,240
  4. Step 4: Simplify right side
    246,400x = 285,412,377,600
  5. Step 5: Solve for x
    x = 285,412,377,600/246,400
  6. Step 6: Final answer
    x = 1,158,329.45

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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.