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Finding the Third Proportional to 246,696 and 530,814

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Solution

The third proportional to 246,696 and 530,814 is: 1,142,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,696 : 530,814 = 530,814 : x
  2. Step 2: Convert to fraction form
    246,696/530,814 = 530,814/x
  3. Step 3: Cross multiply
    246,696x = 530,814 × 530,814
  4. Step 4: Simplify right side
    246,696x = 281,763,502,596
  5. Step 5: Solve for x
    x = 281,763,502,596/246,696
  6. Step 6: Final answer
    x = 1,142,148.65

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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.