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Finding the Third Proportional to 233,894.25 and 492,239.25

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Solution

The third proportional to 233,894.25 and 492,239.25 is: 1,035,936.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,894.25 : 492,239.25 = 492,239.25 : x
  2. Step 2: Convert to fraction form
    233,894.25/492,239.25 = 492,239.25/x
  3. Step 3: Cross multiply
    233,894.25x = 492,239.25 × 492,239.25
  4. Step 4: Simplify right side
    233,894.25x = 242,299,479,240.56
  5. Step 5: Solve for x
    x = 242,299,479,240.56/233,894.25
  6. Step 6: Final answer
    x = 1,035,936.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.