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Finding the Third Proportional to 386,567.44 and 588,052.41

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Solution

The third proportional to 386,567.44 and 588,052.41 is: 894,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,567.44 : 588,052.41 = 588,052.41 : x
  2. Step 2: Convert to fraction form
    386,567.44/588,052.41 = 588,052.41/x
  3. Step 3: Cross multiply
    386,567.44x = 588,052.41 × 588,052.41
  4. Step 4: Simplify right side
    386,567.44x = 345,805,632,496.42
  5. Step 5: Solve for x
    x = 345,805,632,496.42/386,567.44
  6. Step 6: Final answer
    x = 894,554.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.