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Finding the Third Proportional to 246,300 and 530,256

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Solution

The third proportional to 246,300 and 530,256 is: 1,141,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,300 : 530,256 = 530,256 : x
  2. Step 2: Convert to fraction form
    246,300/530,256 = 530,256/x
  3. Step 3: Cross multiply
    246,300x = 530,256 × 530,256
  4. Step 4: Simplify right side
    246,300x = 281,171,425,536
  5. Step 5: Solve for x
    x = 281,171,425,536/246,300
  6. Step 6: Final answer
    x = 1,141,581.10

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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.