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Finding the Third Proportional to 233,515.50 and 494,797.50

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Solution

The third proportional to 233,515.50 and 494,797.50 is: 1,048,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,515.50 : 494,797.50 = 494,797.50 : x
  2. Step 2: Convert to fraction form
    233,515.50/494,797.50 = 494,797.50/x
  3. Step 3: Cross multiply
    233,515.50x = 494,797.50 × 494,797.50
  4. Step 4: Simplify right side
    233,515.50x = 244,824,566,006.25
  5. Step 5: Solve for x
    x = 244,824,566,006.25/233,515.50
  6. Step 6: Final answer
    x = 1,048,429.62

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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.