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Finding the Third Proportional to 319,075 and 493,997

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Solution

The third proportional to 319,075 and 493,997 is: 764,814.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,075 : 493,997 = 493,997 : x
  2. Step 2: Convert to fraction form
    319,075/493,997 = 493,997/x
  3. Step 3: Cross multiply
    319,075x = 493,997 × 493,997
  4. Step 4: Simplify right side
    319,075x = 244,033,036,009
  5. Step 5: Solve for x
    x = 244,033,036,009/319,075
  6. Step 6: Final answer
    x = 764,814.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.