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Finding the Third Proportional to 246,256 and 535,644

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Solution

The third proportional to 246,256 and 535,644 is: 1,165,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,256 : 535,644 = 535,644 : x
  2. Step 2: Convert to fraction form
    246,256/535,644 = 535,644/x
  3. Step 3: Cross multiply
    246,256x = 535,644 × 535,644
  4. Step 4: Simplify right side
    246,256x = 286,914,494,736
  5. Step 5: Solve for x
    x = 286,914,494,736/246,256
  6. Step 6: Final answer
    x = 1,165,106.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.