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Finding the Third Proportional to 293,992 and 466,132

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Solution

The third proportional to 293,992 and 466,132 is: 739,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,992 : 466,132 = 466,132 : x
  2. Step 2: Convert to fraction form
    293,992/466,132 = 466,132/x
  3. Step 3: Cross multiply
    293,992x = 466,132 × 466,132
  4. Step 4: Simplify right side
    293,992x = 217,279,041,424
  5. Step 5: Solve for x
    x = 217,279,041,424/293,992
  6. Step 6: Final answer
    x = 739,064.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.