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Finding the Third Proportional to 246,320 and 530,624

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Solution

The third proportional to 246,320 and 530,624 is: 1,143,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,320 : 530,624 = 530,624 : x
  2. Step 2: Convert to fraction form
    246,320/530,624 = 530,624/x
  3. Step 3: Cross multiply
    246,320x = 530,624 × 530,624
  4. Step 4: Simplify right side
    246,320x = 281,561,829,376
  5. Step 5: Solve for x
    x = 281,561,829,376/246,320
  6. Step 6: Final answer
    x = 1,143,073.36

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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.