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Finding the Third Proportional to 492,286.50 and 737,608.50

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Solution

The third proportional to 492,286.50 and 737,608.50 is: 1,105,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,286.50 : 737,608.50 = 737,608.50 : x
  2. Step 2: Convert to fraction form
    492,286.50/737,608.50 = 737,608.50/x
  3. Step 3: Cross multiply
    492,286.50x = 737,608.50 × 737,608.50
  4. Step 4: Simplify right side
    492,286.50x = 544,066,299,272.25
  5. Step 5: Solve for x
    x = 544,066,299,272.25/492,286.50
  6. Step 6: Final answer
    x = 1,105,182.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.