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Finding the Third Proportional to 246,705 and 531,477

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Solution

The third proportional to 246,705 and 531,477 is: 1,144,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,705 : 531,477 = 531,477 : x
  2. Step 2: Convert to fraction form
    246,705/531,477 = 531,477/x
  3. Step 3: Cross multiply
    246,705x = 531,477 × 531,477
  4. Step 4: Simplify right side
    246,705x = 282,467,801,529
  5. Step 5: Solve for x
    x = 282,467,801,529/246,705
  6. Step 6: Final answer
    x = 1,144,961.80

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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.