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Finding the Third Proportional to 238,968 and 498,849.75

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Solution

The third proportional to 238,968 and 498,849.75 is: 1,041,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,968 : 498,849.75 = 498,849.75 : x
  2. Step 2: Convert to fraction form
    238,968/498,849.75 = 498,849.75/x
  3. Step 3: Cross multiply
    238,968x = 498,849.75 × 498,849.75
  4. Step 4: Simplify right side
    238,968x = 248,851,073,075.06
  5. Step 5: Solve for x
    x = 248,851,073,075.06/238,968
  6. Step 6: Final answer
    x = 1,041,357.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.