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Finding the Third Proportional to 233,516.25 and 494,798.25

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Solution

The third proportional to 233,516.25 and 494,798.25 is: 1,048,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,516.25 : 494,798.25 = 494,798.25 : x
  2. Step 2: Convert to fraction form
    233,516.25/494,798.25 = 494,798.25/x
  3. Step 3: Cross multiply
    233,516.25x = 494,798.25 × 494,798.25
  4. Step 4: Simplify right side
    233,516.25x = 244,825,308,203.06
  5. Step 5: Solve for x
    x = 244,825,308,203.06/233,516.25
  6. Step 6: Final answer
    x = 1,048,429.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.