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Finding the Third Proportional to 322,956 and 480,738

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Solution

The third proportional to 322,956 and 480,738 is: 715,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,956 : 480,738 = 480,738 : x
  2. Step 2: Convert to fraction form
    322,956/480,738 = 480,738/x
  3. Step 3: Cross multiply
    322,956x = 480,738 × 480,738
  4. Step 4: Simplify right side
    322,956x = 231,109,024,644
  5. Step 5: Solve for x
    x = 231,109,024,644/322,956
  6. Step 6: Final answer
    x = 715,605.30

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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.