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Finding the Third Proportional to 246,672 and 510,848

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Solution

The third proportional to 246,672 and 510,848 is: 1,057,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,672 : 510,848 = 510,848 : x
  2. Step 2: Convert to fraction form
    246,672/510,848 = 510,848/x
  3. Step 3: Cross multiply
    246,672x = 510,848 × 510,848
  4. Step 4: Simplify right side
    246,672x = 260,965,679,104
  5. Step 5: Solve for x
    x = 260,965,679,104/246,672
  6. Step 6: Final answer
    x = 1,057,946.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.