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Finding the Third Proportional to 246,576 and 530,024

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Solution

The third proportional to 246,576 and 530,024 is: 1,139,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,576 : 530,024 = 530,024 : x
  2. Step 2: Convert to fraction form
    246,576/530,024 = 530,024/x
  3. Step 3: Cross multiply
    246,576x = 530,024 × 530,024
  4. Step 4: Simplify right side
    246,576x = 280,925,440,576
  5. Step 5: Solve for x
    x = 280,925,440,576/246,576
  6. Step 6: Final answer
    x = 1,139,305.69

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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.