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Finding the Third Proportional to 246,966 and 530,747

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Solution

The third proportional to 246,966 and 530,747 is: 1,140,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,966 : 530,747 = 530,747 : x
  2. Step 2: Convert to fraction form
    246,966/530,747 = 530,747/x
  3. Step 3: Cross multiply
    246,966x = 530,747 × 530,747
  4. Step 4: Simplify right side
    246,966x = 281,692,378,009
  5. Step 5: Solve for x
    x = 281,692,378,009/246,966
  6. Step 6: Final answer
    x = 1,140,611.98

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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.