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Finding the Third Proportional to 283,482.28 and 408,456.42

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Solution

The third proportional to 283,482.28 and 408,456.42 is: 588,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,482.28 : 408,456.42 = 408,456.42 : x
  2. Step 2: Convert to fraction form
    283,482.28/408,456.42 = 408,456.42/x
  3. Step 3: Cross multiply
    283,482.28x = 408,456.42 × 408,456.42
  4. Step 4: Simplify right side
    283,482.28x = 166,836,648,570.93
  5. Step 5: Solve for x
    x = 166,836,648,570.93/283,482.28
  6. Step 6: Final answer
    x = 588,525.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.