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Finding the Third Proportional to 296,252 and 446,993

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Solution

The third proportional to 296,252 and 446,993 is: 674,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,252 : 446,993 = 446,993 : x
  2. Step 2: Convert to fraction form
    296,252/446,993 = 446,993/x
  3. Step 3: Cross multiply
    296,252x = 446,993 × 446,993
  4. Step 4: Simplify right side
    296,252x = 199,802,742,049
  5. Step 5: Solve for x
    x = 199,802,742,049/296,252
  6. Step 6: Final answer
    x = 674,435.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.