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Finding the Third Proportional to 319,424 and 479,096

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Solution

The third proportional to 319,424 and 479,096 is: 718,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,424 : 479,096 = 479,096 : x
  2. Step 2: Convert to fraction form
    319,424/479,096 = 479,096/x
  3. Step 3: Cross multiply
    319,424x = 479,096 × 479,096
  4. Step 4: Simplify right side
    319,424x = 229,532,977,216
  5. Step 5: Solve for x
    x = 229,532,977,216/319,424
  6. Step 6: Final answer
    x = 718,584.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.