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Finding the Third Proportional to 293,848 and 436,452

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Solution

The third proportional to 293,848 and 436,452 is: 648,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,848 : 436,452 = 436,452 : x
  2. Step 2: Convert to fraction form
    293,848/436,452 = 436,452/x
  3. Step 3: Cross multiply
    293,848x = 436,452 × 436,452
  4. Step 4: Simplify right side
    293,848x = 190,490,348,304
  5. Step 5: Solve for x
    x = 190,490,348,304/293,848
  6. Step 6: Final answer
    x = 648,261.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.