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Finding the Third Proportional to 246,180 and 530,022

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Solution

The third proportional to 246,180 and 530,022 is: 1,141,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,180 : 530,022 = 530,022 : x
  2. Step 2: Convert to fraction form
    246,180/530,022 = 530,022/x
  3. Step 3: Cross multiply
    246,180x = 530,022 × 530,022
  4. Step 4: Simplify right side
    246,180x = 280,923,320,484
  5. Step 5: Solve for x
    x = 280,923,320,484/246,180
  6. Step 6: Final answer
    x = 1,141,129.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.