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Finding the Third Proportional to 274,504.50 and 438,304.50

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Solution

The third proportional to 274,504.50 and 438,304.50 is: 699,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,504.50 : 438,304.50 = 438,304.50 : x
  2. Step 2: Convert to fraction form
    274,504.50/438,304.50 = 438,304.50/x
  3. Step 3: Cross multiply
    274,504.50x = 438,304.50 × 438,304.50
  4. Step 4: Simplify right side
    274,504.50x = 192,110,834,720.25
  5. Step 5: Solve for x
    x = 192,110,834,720.25/274,504.50
  6. Step 6: Final answer
    x = 699,845.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.