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Finding the Third Proportional to 362,144 and 540,777

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Solution

The third proportional to 362,144 and 540,777 is: 807,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,144 : 540,777 = 540,777 : x
  2. Step 2: Convert to fraction form
    362,144/540,777 = 540,777/x
  3. Step 3: Cross multiply
    362,144x = 540,777 × 540,777
  4. Step 4: Simplify right side
    362,144x = 292,439,763,729
  5. Step 5: Solve for x
    x = 292,439,763,729/362,144
  6. Step 6: Final answer
    x = 807,523.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.