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Finding the Third Proportional to 246,472 and 374,326

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Solution

The third proportional to 246,472 and 374,326 is: 568,502.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,472 : 374,326 = 374,326 : x
  2. Step 2: Convert to fraction form
    246,472/374,326 = 374,326/x
  3. Step 3: Cross multiply
    246,472x = 374,326 × 374,326
  4. Step 4: Simplify right side
    246,472x = 140,119,954,276
  5. Step 5: Solve for x
    x = 140,119,954,276/246,472
  6. Step 6: Final answer
    x = 568,502.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.