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Finding the Third Proportional to 283,479.91 and 438,932.04

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Solution

The third proportional to 283,479.91 and 438,932.04 is: 679,629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,479.91 : 438,932.04 = 438,932.04 : x
  2. Step 2: Convert to fraction form
    283,479.91/438,932.04 = 438,932.04/x
  3. Step 3: Cross multiply
    283,479.91x = 438,932.04 × 438,932.04
  4. Step 4: Simplify right side
    283,479.91x = 192,661,334,915.56
  5. Step 5: Solve for x
    x = 192,661,334,915.56/283,479.91
  6. Step 6: Final answer
    x = 679,629.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.