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Finding the Third Proportional to 391,584.38 and 623,087.44

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Solution

The third proportional to 391,584.38 and 623,087.44 is: 991,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,584.38 : 623,087.44 = 623,087.44 : x
  2. Step 2: Convert to fraction form
    391,584.38/623,087.44 = 623,087.44/x
  3. Step 3: Cross multiply
    391,584.38x = 623,087.44 × 623,087.44
  4. Step 4: Simplify right side
    391,584.38x = 388,237,954,770.32
  5. Step 5: Solve for x
    x = 388,237,954,770.32/391,584.38
  6. Step 6: Final answer
    x = 991,454.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.